HOME RESEARCH BROMPTON

  1. Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
    Equivariant geometry of singular cubic threefolds
    arXiv:2401.10974, 2024

  1. Ivan Cheltsov
    K-stability of Fano 3-folds of Picard rank 3 and degree 22
    arXiv:2401.02818, 2024

  1. Ivan Cheltsov, Tiago Duarte Guerreiro, Kento Fujita, Igor Krylov, Jesus Martinez-Garcia
    K-stability of Casagrande-Druel varieties
    arXiv:2309.12522, 2023

  1. Ivan Cheltsov, Piotr Pokora
    On K-stability of P3 blown up along a quintic elliptic curve
    arXiv:2309.12528, 2023

  1. Ivan Cheltsov, Alan Thompson
    K-moduli of Fano threefolds in family 3.10
    arXiv:2309.12524, 2023

  1. 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

  1. Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
    Equivariant geometry of the Segre cubic and the Burkhardt quartic
    arXiv:2308.15271, 2023

  1. Ivan Cheltsov, Igor Krylov, Jesus Martinez Garcia, Evgeny Shinder
    On maximally non-factorial nodal Fano threefolds
    arXiv:2304.11334, 2023

  1. 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

  1. Ivan Cheltsov, Arman Sarikyan, Ziquan Zhuang
    Birational rigidity and alpha invariants of Fano varieties
    arXiv:2304.11333, 2023

  1. Hamid Abban, Ivan Cheltsov, Alexander Kasprzyk, Yuchen Liu, Andrea Petracci
    On K-moduli of quartic threefolds
    arXiv:2210.14781, 2022

  1. Ivan Cheltsov, Jihun Park
    Degree of irrationality of Fano threefold hypersurfaces
    arXiv:2210.14777, 2022

  1. Ivan Cheltsov, Frederic Mangolte, Egor Yasinsky, Susanna Zimmermann
    Birational involutions of the real projective plane
    arXiv:2208.00217, 2022

  1. Ivan Cheltsov, Victor Przyjalkowski
    Katzarkov-Kontsevich-Pantev conjecture for Fano threefolds
    arXiv:1809.09218, 2018

  1. Ivan Cheltsov, Elena Denisova, Kento Fujita
    K-stable smooth Fano threefolds of Picard rank two
    Forum of Mathematics, Sigma, to appear

  1. Ivan Cheltsov, Arman Sarikyan
    Equivariant pliability of the projective space
    Selecta Mathematica 29 (2023), paper 71, 84 pages

  1. Hamid Abban, Ivan Cheltsov, Jihun Park, Constantin Shramov
    Double Veronese cones with 28 nodes
    L'Enseignement Mathematique, to appear

  1. 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

  1. Ivan Cheltsov, Adrien Dubouloz, Takashi Kishimoto
    Toric G-solid Fano threefolds
    Selecta Mathematica 29 (2023), paper 22, 45 pages

  1. 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

  1. Ivan Cheltsov, Hendrik Süß
    K-polystability of two smooth Fano threefolds
    Springer Proceedings in Mathematics & Statistics 409 (2023), 165-193

  1. 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

  1. Ivan Cheltsov, Constantin Shramov
    Kaehler-Einstein Fano threefolds of degree 22
    Journal of Algebraic Geometry 32 (2023), 385-428

  1. Ivan Cheltsov
    Kummer quartic double solids
    Rendiconti del Circolo Matematico di Palermo 72 (2023), 1993-2023

  1. Ivan Cheltsov, Victor Przyjalkowski
    Fibers over infinity of Landau-Ginzburg models
    Communications in Number Theory and Physics 16 (2022), 673-693

  1. Ivan Cheltsov, Jihun Park
    K-stable Fano threefolds of rank 2 and degree 30
    European Journal of Mathematics 8 (2022), 834-852

  1. 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

  1. Hamid Abban, Ivan Cheltsov, Jihun Park
    On geometry of Fano threefold hypersurfaces
    Progress in Mathematics, Birkhäuser 342 (2021), 1-14

  1. Ivan Cheltsov, Jihun Park, Yuri Prokhorov, Mikhail Zaidenberg
    Cylinders in Fano varieties
    The European Mathematical Society Surveys in Mathematical Sciences 8 (2021), 39-105

  1. Ivan Cheltsov, Yuri Prokhorov
    Del Pezzo surfaces with infinite automorphism groups
    Algebraic Geometry 8 (2021), 319-357

  1. Ivan Cheltsov
    Cylinders in rational surfaces
    Sbornik: Mathematics 212 (2021), 399-415

  1. Ivan Cheltsov, Jihun Park, Constantin Shramov
    Delta invariants of singular del Pezzo surfaces
    Journal of Geometric Analysis 31 (2021), 2354-2382

  1. Ivan Cheltsov, Alexander Kuznetsov, Constantin Shramov
    Coble fourfold, S6-invariant quartic threefolds, and Wiman-Edge sextics
    Algebra and Number Theory 14 (2020), 213-274

  1. Ivan Cheltsov, Jesus Martinez-Garcia
    Stable polarized del Pezzo surfaces
    International Mathematics Research Notices 2020 (2020), 5477-5505

  1. Ivan Cheltsov, Constantin Shramov
    Finite collineation groups and birational rigidity
    Selecta Mathematica 25 (2019), paper 71, 68 pages

  1. Ivan Cheltsov, Jesus Martinez-Garcia
    Unstable polarized del Pezzo surfaces
    Transactions of the American Mathematical Society 372 (2019), 7255-7296

  1. Ivan Cheltsov, Kewei Zhang
    Delta invariants of smooth cubic surfaces
    European Journal of Mathematics 5 (2019), 729-762

  1. Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
    Burkhardt quartic, Barth sextic, and the icosahedron
    International Mathematics Research Notices 2019 (2019), 3683-3703

  1. Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
    Fano threefolds with infinite automorphism groups
    Izvestia: Mathematics 83 (2019), 860-907

  1. 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

  1. Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
    Which quartic double solids are rational?
    Journal of Algebraic Geometry 28 (2019), 201-243

  1. Ivan Cheltsov, Adrien Dubouloz, Jihun Park
    Super-rigid affine Fano varieties
    Compositio Mathematica 154 (2018), 2462-2484

  1. Ivan Cheltsov, Jihun Park, Constantin Shramov
    Alpha-invariants and purely log terminal blow-ups
    European Journal of Mathematics 4 (2018), 845-858

  1. Ivan Cheltsov
    On a conjecture of Hong and Won
    Trends in Mathematics, Geometric Methods in Physics 35 (2018), 155-174

  1. Hamid Abban, Ivan Cheltsov, Josef Schicho
    On a conjecture of Tian
    Mathematische Zeitschrift 288 (2018), 217-241

  1. Ivan Cheltsov, Yanir Rubinstein
    On flops and canonical metrics
    Annali della Scuola Normale Superiore di Pisa 18 (2018), 283-311

  1. Ivan Cheltsov, Mikhail Grinenko
    Birational rigidity is not an open property
    Bulletin of the Korean Mathematical Society 54 (2017), 1485-1526

  1. Ivan Cheltsov
    Worst singularities of plane curves of given degree
    Journal of Geometric Analysis 27 (2017), 2302-2338

  1. Ivan Cheltsov, Jihun Park, Joonyeong Won
    Cylinders in del Pezzo surfaces
    International Mathematics Research Notices 2017 (2017), 1179-1230

  1. Ivan Cheltsov, Jihun Park
    Birationally rigid Fano threefold hypersurfaces
    Memoirs of the American Mathematical Society 246 (2017), 117 pages

  1. Ivan Cheltsov, Jihun Park, Joonyeong Won
    Cylinders in singular del Pezzo surfaces
    Compositio Mathematica 152 (2016), 1198-1224

  1. Ivan Cheltsov, Jesus Martinez-Garcia
    Dynamic alpha-invariants of del Pezzo surfaces
    International Mathematics Research Notices 10 (2016), 2994-3028

  1. Ivan Cheltsov, Constantin Shramov
    Two rational nodal quartic threefolds
    Quarterly Journal of Mathematics 67 (2016), 573-601

  1. Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
    Quartic double solids with icosahedral symmetry
    European Journal of Mathematics 2 (2016), 96-119

  1. Ivan Cheltsov, Jihun Park, Joonyeong Won
    Affine cones over smooth cubic surfaces
    Journal of the European Mathematical Society 18 (2016), 1537-1564

  1. Ivan Cheltsov, Constantin Shramov
    Cremona groups and the icosahedron
    Monographs and Research Notes in Mathematics, CRC press, 2015, 504 pages

  1. Ivan Cheltsov, Yanir Rubinstein
    Asymptotically log Fano varieties
    Advances in Mathematics 285 (2015), 1241-13002

  1. Ivan Cheltsov
    Two local inequalities
    Izvestia: Mathematics 78 (2014), 375-426

  1. Ivan Cheltsov, Dimitra Kosta
    Computing alpha-invariants of singular del Pezzo surfaces
    Journal of Geometric Analysis 24 (2014), 798-842

  1. Ivan Cheltsov
    del Pezzo surfaces and local inequalities
    Springer Proceedings in Mathematics & Statistics 79 (2014), 83-101

  1. Ivan Cheltsov, Constantin Shramov
    Weakly-exceptional singularities in higher dimensions
    Journal fur die Reine und Angewandte Mathematik 689 (2014), 201-241

  1. Ivan Cheltsov, Jihun Park, Joonyeong Won
    Log canonical thresholds of certain Fano hypersurfaces
    Mathematische Zeitschrift 276 (2014), 51-79

  1. Ivan Cheltsov, Constantin Shramov
    Five embeddings of one simple group
    Transactions of the American Mathematical Society 366 (2014), 1289-1331

  1. Ivan Cheltsov, Constantin Shramov
    Del Pezzo zoo
    Experimental Mathematics 22 (2013), 313-326

  1. Ivan Cheltsov, Constantin Shramov
    Sporadic simple groups and quotient singularities
    Izvestia: Mathematics 77 (2013), 846-854

  1. Ivan Cheltsov, Ludmil Katzarkov, Victor Przyjalkowski
    Birational geometry via moduli spaces
    Simons Symposia, 2013, 93-132

  1. Ivan Cheltsov, Andrew Wilson
    Del Pezzo surfaces with many symmetries
    Journal of Geometric Analysis 23 (2013), 1257-1289

  1. Ivan Cheltsov, Constantin Shramov
    Three embeddings of the Klein simple group into the Cremona group of rank three
    Transformation Groups, 17 (2012), 303-350

  1. Ivan Cheltsov, Constantin Shramov
    Nine-dimensional exceptional quotient singularities exist
    Proceedings of the Gokova Geometry-Topology conference, 2011, 85-96

  1. Ivan Cheltsov, Constantin Shramov
    Six-dimensional exceptional quotient singularities
    Mathematical Research Letters 18 (2011), 1121-1139

  1. Ivan Cheltsov, Constantin Shramov
    On exceptional quotient singularities
    Geometry & Topology 15 (2011), 1843-1882

  1. Ivan Cheltsov
    Factorial threefold hypersurfaces
    Journal of Algebraic Geometry 19 (2010), 781-791

  1. Ivan Cheltsov, Jihun Park, Constantin Shramov
    Exceptional del Pezzo hypersurfaces
    Journal of Geometric Analysis 20 (2010), 787-816

  1. Ivan Cheltsov
    On a conjecture of Ciliberto
    Sbornik: Mathematics 201 (2010), 1069-1090

  1. Ivan Cheltsov, Jihun Park
    Sextic double solids
    Progress in Mathematics 282 (2010), 75-132

  1. Ivan Cheltsov, Ilya Karzhemanov
    Halphen pencils on quartic threefolds
    Advances in Mathematics 223 (2010), 594-618

  1. Ivan Cheltsov, Constantin Shramov
    Extremal metrics on del Pezzo threefolds
    Proceedings of the Steklov Institute Of Mathematics 264 (2009), 30-44

  1. Ivan Cheltsov
    Log canonical thresholds of Fano threefold hypersurfaces
    Izvestia: Mathematics 73 (2009), 77-152

  1. Ivan Cheltsov
    On singular cubic surfaces
    Asian Journal of Mathematics 13 (2009), 191-214

  1. Ivan Cheltsov
    Extremal metrics on two Fano varieties
    Sbornik: Mathematics 200 (2009), 95-132

  1. Ivan Cheltsov, Jihun Park
    Halphen pencils on weighted Fano threefold hypersurfaces
    Central European Journal of Mathematics 7 (2009), 1-45

  1. Ivan Cheltsov
    Points in projective spaces and applications
    Journal of Differential Geometry 81 (2009), 575-599

  1. Ivan Cheltsov, Constantin Shramov
    Log canonical thresholds of smooth Fano threefolds
    Russian Mathematical Surveys 63 (2008), 859-958

  1. Ivan Cheltsov
    Log canonical thresholds of del Pezzo surfaces
    Geometric and Functional Analysis 11 (2008), 1118-1144

  1. Ivan Cheltsov
    Nonrational del Pezzo fibrations
    Advances in Geometry 8 (2008), 441-450

  1. Ivan Cheltsov
    Double spaces with singularities
    Sbornik: Mathematics 199 (2008), 291-306

  1. Ivan Cheltsov
    Fano varieties with many selfmaps
    Advances in Mathematics 217 (2008), 97-124

  1. Ivan Cheltsov, Jihun Park
    Two remarks on sextic double solids
    Journal of Number Theory 122 (2007), 1-12

  1. Ivan Cheltsov
    On nodal sextic fivefold
    Mathematische Nachrichten 280 (2007), 1344-1353

  1. Ivan Cheltsov
    Elliptic structures on weighted three-dimensional Fano surfaces
    Izvestia: Mathematics 71 (2007), 765-862

  1. Ivan Cheltsov, Jihun Park
    Weighted Fano threefold hypersurfaces
    Journal fur die Reine und Angewandte Mathematik 600 (2006), 81-116

  1. Ivan Cheltsov
    Double cubics and double quartics
    Mathematische Zeitschrift 253 (2006), 75-86

  1. Ivan Cheltsov, Jihun Park
    Factorial hypersurfaces in P4 with nodes
    Geometriae Dedicata 121 (2006), 205-219

  1. Ivan Cheltsov
    The factoriality of nodal threefolds and the connectedness of the set of log canonical singularities
    Sbornik: Mathematics 197 (2006), 387-414

  1. Ivan Cheltsov
    Nonrational nodal quartic threefolds
    Pacific Journal of Mathematics 226 (2006), 65-81

  1. Ivan Cheltsov
    Local inequalities and the birational superrigidity of Fano varieties
    Izvestia: Mathematics 70 (2006), 605-639

  1. Ivan Cheltsov
    Birationally rigid Fano varieties
    Russian Mathematical Surveys 60 (2005), 875-965

  1. Ivan Cheltsov
    On factoriality of nodal threefolds
    Journal of Algebraic Geometry 14 (2005), 663-690

  1. Ivan Cheltsov
    Nonexistence of elliptic structures on general Fano complete intersections of index one
    Moscow University Mathematics Bulletin 60 (2005), 30-33

  1. Ivan Cheltsov
    Birationally rigid del Pezzo fibrations
    Manuscripta Mathematica 116 (2005), 385-396

  1. Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
    Hyperelliptic and trigonal Fano threefolds
    Izvestia: Mathematics 69 (2005), 365-421

  1. Ivan Cheltsov
    A double space with a double line
    Sbornik: Mathematics 195 (2004), 1503-1544

  1. Ivan Cheltsov
    Birationally super-rigid cyclic triple spaces
    Izvestia: Mathematics 68 (2004), 1229-1275

  1. 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

  1. Ivan Cheltsov, Lorenz Wotzlaw
    Nonrational complete intersections
    Proceedings of the Steklov Institute of Mathematics 246 (2004), 303-307

  1. Ivan Cheltsov
    Regularization of birational automorphisms
    Mathematical Notes 76 (2004), 264-275

  1. Ivan Cheltsov
    Rationality of an Enriques-Fano threefold of genus five
    Izvestia: Mathematics 68 (2004), 607-618

  1. Ivan Cheltsov
    Conic bundles with big discriminant
    Izvestia: Mathematics 68 (2004), 429-434

  1. 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

  1. Ivan Cheltsov
    Anticanonical models of Fano 3-folds of degree four
    Sbornik: Mathematics 194 (2003), 617-640

  1. Ivan Cheltsov, Jihun Park
    Total log-canonical thresholds and generalized Eckardt points
    Sbornik: Mathematics 193 (2002), 779-789

  1. Ivan Cheltsov
    Log canonical thresholds on hypersurfaces
    Sbornik: Mathematics 192 (2001), 1241-1257

  1. Ivan Cheltsov
    A Fano variety with a unique elliptic structure
    Sbornik: Mathematics 192 (2001), 785-794

  1. Ivan Cheltsov
    Log pairs on hypersurfaces of degree n in PN
    Mathematical Notes 68 (2000), 113-119

  1. Ivan Cheltsov
    On smooth quintic 4-fold
    Sbornik: Mathematics 191 (2000), 1399-1419

  1. Ivan Cheltsov
    Log models of birationally rigid varieties
    Journal of Mathematical Sciences 102 (2000), 3843-3875

  1. Ivan Cheltsov
    Boundedness of Fano 3-folds of integer index
    Mathematical Notes 66 (1999), 360-365

  1. Ivan Cheltsov
    On the rationality of non-gorenstein Q-Fano 3-folds with an integer Fano index
    Contemporary Mathematics 207 (1997), 43-50

  1. Ivan Cheltsov
    Del Pezzo surfaces with nonrational singularities
    Mathematical Notes 62 (1997), 377-389

  1. Ivan Cheltsov
    Singularities of 3-dimensional varieties admitting an ample effective divisor of Kodaira dimension zero
    Mathematical Notes 59 (1996), 445-450

  1. Ivan Cheltsov
    Three-dimensional algebraic varieties that have a divisor with a numerically trivial canonical class
    Russian Mathematical Surveys 51 (1996), 140-141
The Calabi Problem for Fano Threefolds
Cremona groups and the icosahedron
Birationally Rigid Fano Threefold Hypersurfaces