- Ivan Cheltsov, Tiago Duarte Guerreiro, Kento Fujita, Igor Krylov, Jesus Martinez-Garcia
K-stability of Casagrande-Druel varieties arXiv:2309.12522, 2023
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- Ivan Cheltsov, Piotr Pokora
On K-stability of P3 blown up along a quintic elliptic curve arXiv:2309.12528, 2023
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- Ivan Cheltsov, Alan Thompson
K-moduli of Fano threefolds in family 3.10 arXiv:2309.12524, 2023
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- Hamid Abban, Ivan Cheltsov, Elena Denisova, Erroxe Etxabarri-Alberdi, Anne-Sophie Kaloghiros, Dongchen Jiao,
Jesus Martinez-Garcia, Theodoros Papazachariou
One-dimensional components in the K-moduli of smooth Fano 3-folds arXiv:2309.12518, 2023
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- Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
Equivariant geometry of the Segre cubic and the Burkhardt quartic
arXiv:2308.15271, 2023
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- Ivan Cheltsov, Igor Krylov, Jesus Martinez Garcia, Evgeny Shinder
On maximally non-factorial nodal Fano threefolds
arXiv:2304.11334, 2023
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- Ivan Cheltsov, Kento Fujita, Takashi Kishimoto, Jihun Park
K-stable Fano 3-folds in the families 2.18 and 3.4
arXiv:2304.11334, 2023
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- Ivan Cheltsov, Arman Sarikyan, Ziquan Zhuang
Birational rigidity and alpha invariants of Fano varieties
arXiv:2304.11333, 2023
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- Hamid Abban, Ivan Cheltsov, Alexander Kasprzyk, Yuchen Liu, Andrea Petracci
On K-moduli of quartic threefolds
arXiv:2210.14781, 2022
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- Ivan Cheltsov, Jihun Park
Degree of irrationality of Fano threefold hypersurfaces
arXiv:2210.14777, 2022
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- Ivan Cheltsov, Elena Denisova, Kento Fujita
K-stable smooth Fano threefolds of Picard rank two
arXiv:2210.14770, 2022
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- Ivan Cheltsov, Frederic Mangolte, Egor Yasinsky, Susanna Zimmermann
Birational involutions of the real projective plane
arXiv:2208.00217, 2022
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- Ivan Cheltsov, Victor Przyjalkowski
Katzarkov-Kontsevich-Pantev conjecture for Fano threefolds
arXiv:1809.09218, 2018
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- Ivan Cheltsov, Arman Sarikyan
Equivariant pliability of the projective space
Selecta Mathematica, to appear
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- Hamid Abban, Ivan Cheltsov, Jihun Park, Constantin Shramov
Double Veronese cones with 28 nodes
L'Enseignement Mathematique, to appear
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- Ivan Cheltsov, Kento Fujita, Takashi Kishimoto, Takuzo Okada
K-stable divisors in P1×P1×P2 of degree (1,1,2)
Nagoya Mathematical Journal 251 (2023), 686-714
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- Ivan Cheltsov, Adrien Dubouloz, Takashi Kishimoto
Toric G-solid Fano threefolds
Selecta Mathematica 29 (2023), paper 22, 45 pages
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- Jeremy Blanc, Ivan Cheltsov, Alexander Duncan, Yuri Prokhorov
Finite quasisimple groups acting on rationally connected threefolds
Mathematical Proceedings of the Cambridge Philosophical Society 174 (2023), 531-568
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- Ivan Cheltsov, Hendrik Süß
K-polystability of two smooth Fano threefolds
Springer Proceedings in Mathematics & Statistics 409 (2023), 165-193
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- Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov,
Kento Fujita, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia, Constantin Shramov, Hendrik Süß, Nivedita Viswanathan
The Calabi problem for Fano threefolds
Cambridge University Press, London Mathematical Society Lecture Notes Series 485 (2023), 450 pages
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- Ivan Cheltsov, Constantin Shramov
Kaehler-Einstein Fano threefolds of degree 22
Journal of Algebraic Geometry 32 (2023), 385-428
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- Ivan Cheltsov
Kummer quartic double solids
Rendiconti del Circolo Matematico di Palermo 72 (2023), 1993-2023
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- Ivan Cheltsov, Victor Przyjalkowski
Fibers over infinity of Landau-Ginzburg models
Communications in Number Theory and Physics 16 (2022), 673-693
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- Ivan Cheltsov, Jihun Park
K-stable Fano threefolds of rank 2 and degree 30
European Journal of Mathematics 8 (2022), 834-852
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- Jeremy Blanc, Ivan Cheltsov, Alexander Duncan, Yuri Prokhorov
Birational self-maps of threefolds of (un)-bounded genus or gonality
American Journal of Mathematics 144 (2022), 575-597
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- Hamid Abban, Ivan Cheltsov, Jihun Park
On geometry of Fano threefold hypersurfaces
Progress in Mathematics, Birkhäuser 342 (2021), 1-14
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- Ivan Cheltsov, Jihun Park, Yuri Prokhorov, Mikhail Zaidenberg
Cylinders in Fano varieties
The European Mathematical Society Surveys in Mathematical Sciences 8 (2021), 39-105
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- Ivan Cheltsov, Yuri Prokhorov
Del Pezzo surfaces with infinite automorphism groups
Algebraic Geometry 8 (2021), 319-357
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- Ivan Cheltsov
Cylinders in rational surfaces
Sbornik: Mathematics 212 (2021), 399-415
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- Ivan Cheltsov, Jihun Park, Constantin Shramov
Delta invariants of singular del Pezzo surfaces
Journal of Geometric Analysis 31 (2021), 2354-2382
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- Ivan Cheltsov, Alexander Kuznetsov, Constantin Shramov
Coble fourfold, S6-invariant quartic threefolds, and Wiman-Edge sextics
Algebra and Number Theory 14 (2020), 213-274
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- Ivan Cheltsov, Jesus Martinez-Garcia
Stable polarized del Pezzo surfaces
International Mathematics Research Notices 2020 (2020), 5477-5505
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- Ivan Cheltsov, Constantin Shramov
Finite collineation groups and birational rigidity
Selecta Mathematica 25 (2019), paper 71, 68 pages
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- Ivan Cheltsov, Jesus Martinez-Garcia
Unstable polarized del Pezzo surfaces
Transactions of the American Mathematical Society 372 (2019), 7255-7296
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- Ivan Cheltsov, Kewei Zhang
Delta invariants of smooth cubic surfaces
European Journal of Mathematics 5 (2019), 729-762
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- Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
Burkhardt quartic, Barth sextic, and the icosahedron
International Mathematics Research Notices 2019 (2019), 3683-3703
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- Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
Fano threefolds with infinite automorphism groups
Izvestia: Mathematics 83 (2019), 860-907
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- Ivan Cheltsov, Yanir Rubinstein, Kewei Zhang
Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
Selecta Mathematica 25 (2019), paper 34, 36 pages
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- Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
Which quartic double solids are rational?
Journal of Algebraic Geometry 28 (2019), 201-243
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- Ivan Cheltsov, Adrien Dubouloz, Jihun Park
Super-rigid affine Fano varieties
Compositio Mathematica 154 (2018), 2462-2484
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- Ivan Cheltsov, Jihun Park, Constantin Shramov
Alpha-invariants and purely log terminal blow-ups
European Journal of Mathematics 4 (2018), 845-858
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- Ivan Cheltsov
On a conjecture of Hong and Won
Trends in Mathematics, Geometric Methods in Physics 35 (2018), 155-174
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- Hamid Abban, Ivan Cheltsov, Josef Schicho
On a conjecture of Tian
Mathematische Zeitschrift 288 (2018), 217-241
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- Ivan Cheltsov, Yanir Rubinstein
On flops and canonical metrics
Annali della Scuola Normale Superiore di Pisa 18 (2018), 283-311
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- Ivan Cheltsov, Mikhail Grinenko
Birational rigidity is not an open property
Bulletin of the Korean Mathematical Society 54 (2017), 1485-1526
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- Ivan Cheltsov
Worst singularities of plane curves of given degree
Journal of Geometric Analysis 27 (2017), 2302-2338
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- Ivan Cheltsov, Jihun Park, Joonyeong Won
Cylinders in del Pezzo surfaces
International Mathematics Research Notices 2017 (2017), 1179-1230
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- Ivan Cheltsov, Jihun Park
Birationally rigid Fano threefold hypersurfaces
Memoirs of the American Mathematical Society 246 (2017), 117 pages
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- Ivan Cheltsov, Jihun Park, Joonyeong Won
Cylinders in singular del Pezzo surfaces
Compositio Mathematica 152 (2016), 1198-1224
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- Ivan Cheltsov, Jesus Martinez-Garcia
Dynamic alpha-invariants of del Pezzo surfaces
International Mathematics Research Notices 10 (2016), 2994-3028
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- Ivan Cheltsov, Constantin Shramov
Two rational nodal quartic threefolds
Quarterly Journal of Mathematics 67 (2016), 573-601
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- Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
Quartic double solids with icosahedral symmetry
European Journal of Mathematics 2 (2016), 96-119
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- Ivan Cheltsov, Jihun Park, Joonyeong Won
Affine cones over smooth cubic surfaces
Journal of the European Mathematical Society 18 (2016), 1537-1564
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- Ivan Cheltsov, Constantin Shramov
Cremona groups and the icosahedron
Monographs and Research Notes in Mathematics, CRC press, 2015, 504 pages
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- Ivan Cheltsov, Yanir Rubinstein
Asymptotically log Fano varieties
Advances in Mathematics 285 (2015), 1241-13002
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- Ivan Cheltsov
Two local inequalities
Izvestia: Mathematics 78 (2014), 375-426
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- Ivan Cheltsov, Dimitra Kosta
Computing alpha-invariants of singular del Pezzo surfaces
Journal of Geometric Analysis 24 (2014), 798-842
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- Ivan Cheltsov
del Pezzo surfaces and local inequalities
Springer Proceedings in Mathematics & Statistics 79 (2014), 83-101
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- Ivan Cheltsov, Constantin Shramov
Weakly-exceptional singularities in higher dimensions
Journal fur die Reine und Angewandte Mathematik 689 (2014), 201-241
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- Ivan Cheltsov, Jihun Park, Joonyeong Won
Log canonical thresholds of certain Fano hypersurfaces
Mathematische Zeitschrift 276 (2014), 51-79
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- Ivan Cheltsov, Constantin Shramov
Five embeddings of one simple group
Transactions of the American Mathematical Society 366 (2014), 1289-1331
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- Ivan Cheltsov, Constantin Shramov
Del Pezzo zoo
Experimental Mathematics 22 (2013), 313-326
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- Ivan Cheltsov, Constantin Shramov
Sporadic simple groups and quotient singularities
Izvestia: Mathematics 77 (2013), 846-854
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- Ivan Cheltsov, Ludmil Katzarkov, Victor Przyjalkowski
Birational geometry via moduli spaces
Simons Symposia, 2013, 93-132
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- Ivan Cheltsov, Andrew Wilson
Del Pezzo surfaces with many symmetries
Journal of Geometric Analysis 23 (2013), 1257-1289
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- Ivan Cheltsov, Constantin Shramov
Three embeddings of the Klein simple group into the Cremona group of rank three
Transformation Groups, 17 (2012), 303-350
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- Ivan Cheltsov, Constantin Shramov
Nine-dimensional exceptional quotient singularities exist
Proceedings of the Gokova Geometry-Topology conference, 2011, 85-96
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- Ivan Cheltsov, Constantin Shramov
Six-dimensional exceptional quotient singularities
Mathematical Research Letters 18 (2011), 1121-1139
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- Ivan Cheltsov, Constantin Shramov
On exceptional quotient singularities
Geometry & Topology 15 (2011), 1843-1882
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- Ivan Cheltsov
Factorial threefold hypersurfaces
Journal of Algebraic Geometry 19 (2010), 781-791
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- Ivan Cheltsov, Jihun Park, Constantin Shramov
Exceptional del Pezzo hypersurfaces
Journal of Geometric Analysis 20 (2010), 787-816
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- Ivan Cheltsov
On a conjecture of Ciliberto
Sbornik: Mathematics 201 (2010), 1069-1090
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- Ivan Cheltsov, Jihun Park
Sextic double solids
Progress in Mathematics 282 (2010), 75-132
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- Ivan Cheltsov, Ilya Karzhemanov
Halphen pencils on quartic threefolds
Advances in Mathematics 223 (2010), 594-618
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- Ivan Cheltsov, Constantin Shramov
Extremal metrics on del Pezzo threefolds
Proceedings of the Steklov Institute Of Mathematics 264 (2009), 30-44
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- Ivan Cheltsov
Log canonical thresholds of Fano threefold hypersurfaces
Izvestia: Mathematics 73 (2009), 77-152
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- Ivan Cheltsov
On singular cubic surfaces
Asian Journal of Mathematics 13 (2009), 191-214
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- Ivan Cheltsov
Extremal metrics on two Fano varieties
Sbornik: Mathematics 200 (2009), 95-132
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- Ivan Cheltsov, Jihun Park
Halphen pencils on weighted Fano threefold hypersurfaces
Central European Journal of Mathematics 7 (2009), 1-45
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- Ivan Cheltsov
Points in projective spaces and applications
Journal of Differential Geometry 81 (2009), 575-599
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- Ivan Cheltsov, Constantin Shramov
Log canonical thresholds of smooth Fano threefolds
Russian Mathematical Surveys 63 (2008), 859-958
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- Ivan Cheltsov
Log canonical thresholds of del Pezzo surfaces
Geometric and Functional Analysis 11 (2008), 1118-1144
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- Ivan Cheltsov
Nonrational del Pezzo fibrations
Advances in Geometry 8 (2008), 441-450
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- Ivan Cheltsov
Double spaces with singularities
Sbornik: Mathematics 199 (2008), 291-306
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- Ivan Cheltsov
Fano varieties with many selfmaps
Advances in Mathematics 217 (2008), 97-124
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- Ivan Cheltsov, Jihun Park
Two remarks on sextic double solids
Journal of Number Theory 122 (2007), 1-12
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- Ivan Cheltsov
On nodal sextic fivefold
Mathematische Nachrichten 280 (2007), 1344-1353
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- Ivan Cheltsov
Elliptic structures on weighted three-dimensional Fano surfaces
Izvestia: Mathematics 71 (2007), 765-862
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- Ivan Cheltsov, Jihun Park
Weighted Fano threefold hypersurfaces
Journal fur die Reine und Angewandte Mathematik 600 (2006), 81-116
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- Ivan Cheltsov
Double cubics and double quartics
Mathematische Zeitschrift 253 (2006), 75-86
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- Ivan Cheltsov, Jihun Park
Factorial hypersurfaces in P4 with nodes
Geometriae Dedicata 121 (2006), 205-219
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- Ivan Cheltsov
The factoriality of nodal threefolds and the connectedness of the set of log canonical singularities
Sbornik: Mathematics 197 (2006), 387-414
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- Ivan Cheltsov
Nonrational nodal quartic threefolds
Pacific Journal of Mathematics 226 (2006), 65-81
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- Ivan Cheltsov
Local inequalities and the birational superrigidity of Fano varieties
Izvestia: Mathematics 70 (2006), 605-639
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- Ivan Cheltsov
Birationally rigid Fano varieties
Russian Mathematical Surveys 60 (2005), 875-965
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- Ivan Cheltsov
On factoriality of nodal threefolds
Journal of Algebraic Geometry 14 (2005), 663-690
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- Ivan Cheltsov
Nonexistence of elliptic structures on general Fano complete intersections of index one
Moscow University Mathematics Bulletin 60 (2005), 30-33
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- Ivan Cheltsov
Birationally rigid del Pezzo fibrations
Manuscripta Mathematica 116 (2005), 385-396
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- Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
Hyperelliptic and trigonal Fano threefolds
Izvestia: Mathematics 69 (2005), 365-421
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- Ivan Cheltsov
A double space with a double line
Sbornik: Mathematics 195 (2004), 1503-1544
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- Ivan Cheltsov
Birationally super-rigid cyclic triple spaces
Izvestia: Mathematics 68 (2004), 1229-1275
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- Ivan Cheltsov
The degeneracy method and the irrationality of three-dimensional varieties with a pencil of del Pezzo surfaces
Russian Mathematical Surveys 59 (2004), 792-793
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- Ivan Cheltsov, Lorenz Wotzlaw
Nonrational complete intersections
Proceedings of the Steklov Institute of Mathematics 246 (2004), 303-307
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- Ivan Cheltsov
Regularization of birational automorphisms
Mathematical Notes 76 (2004), 264-275
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- Ivan Cheltsov
Rationality of an Enriques-Fano threefold of genus five
Izvestia: Mathematics 68 (2004), 607-618
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- Ivan Cheltsov
Conic bundles with big discriminant
Izvestia: Mathematics 68 (2004), 429-434
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- Ivan Cheltsov
Nonrationality of a four-dimensional smooth complete intersection of a quadric and a quadric not containing a plane
Sbornik: Mathematics 194 (2003), 1679-1699
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- Ivan Cheltsov
Anticanonical models of Fano 3-folds of degree four
Sbornik: Mathematics 194 (2003), 617-640
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- Ivan Cheltsov, Jihun Park
Total log-canonical thresholds and generalized Eckardt points
Sbornik: Mathematics 193 (2002), 779-789
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- Ivan Cheltsov
Log canonical thresholds on hypersurfaces
Sbornik: Mathematics 192 (2001), 1241-1257
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- Ivan Cheltsov
A Fano variety with a unique elliptic structure
Sbornik: Mathematics 192 (2001), 785-794
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- Ivan Cheltsov
Log pairs on hypersurfaces of degree n in PN
Mathematical Notes 68 (2000), 113-119
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- Ivan Cheltsov
On smooth quintic 4-fold
Sbornik: Mathematics 191 (2000), 1399-1419
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- Ivan Cheltsov
Log models of birationally rigid varieties
Journal of Mathematical Sciences 102 (2000), 3843-3875
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- Ivan Cheltsov
Boundedness of Fano 3-folds of integer index
Mathematical Notes 66 (1999), 360-365
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- Ivan Cheltsov
On the rationality of non-gorenstein Q-Fano 3-folds with an integer Fano index
Contemporary Mathematics 207 (1997), 43-50
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- Ivan Cheltsov
Del Pezzo surfaces with nonrational singularities
Mathematical Notes 62 (1997), 377-389
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- Ivan Cheltsov
Singularities of 3-dimensional varieties admitting an ample effective divisor of Kodaira dimension zero
Mathematical Notes 59 (1996), 445-450
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- Ivan Cheltsov
Three-dimensional algebraic varieties that have a divisor with a numerically trivial canonical class
Russian Mathematical Surveys 51 (1996), 140-141
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