Ivan Cheltsov

Search results

• 2022

  Toric G-solid Fano threefolds

  Cheltsov, I., Dubouloz, A. & Kishimoto, T., 27 Sep 2022, (Accepted/In press) In: Selecta Mathematica (New Series).

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • automorphisms 100%
  • Normalizer 81%
  • subgroups 80%
  • Threefolds 75%
  • Automorphism Group 60%

• K-stable Fano threefolds of rank 2 and degree 30

  Cheltsov, I. & Park, J., 1 Aug 2022, (Accepted/In press) In: European Journal of Mathematics.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Threefolds 100%
  • Family 42%

• Finite quasisimple groups acting on rationally connected threefolds

  Blanc, J., Cheltsov, I., Duncan, A. & Prokhorov, Y., 28 Jul 2022, (Accepted/In press) In: Mathematical Proceedings of The Cambridge Philosophical Society.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Threefolds 100%
  • Finite Group 69%
  • Exception 29%

• Kähler-Einstein Fano threefolds of degree 22

  Cheltsov, I. & Shramov, C., 20 Jul 2022, (Accepted/In press) In: Journal of Algebraic Geometry.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Threefolds 100%
  • Albert Einstein 91%
  • Einstein Metrics 56%
  • Faithful 46%
  • Multiplicative 36%

• Fibers over infinity of Landau-Ginzburg models

  Cheltsov, I. & PRZYJALKOWSKI, VICTOR., 18 Jul 2022, (Accepted/In press) In: Communications in Number Theory and Physics.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Ginzburg-Landau Model 100%
  • infinity 72%
  • Fiber 62%
  • Fano Variety 49%
  • Infinity 49%

• Kummer quartic double solids

  Cheltsov, I., 11 Jul 2022, (E-pub ahead of print) In: Rendiconti del Circolo Matematico di Palermo Series 2. 27, 27 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Quartic 100%
  • Equivariant 89%

• K-stable divisors in P1×P1×P2 of degree (1,1,2)

  Cheltsov, I., Fujita, K., Kishimoto, T. & Okada, T., 17 Jun 2022, ArXiv.

  Research output: Working paper › Preprint

  File

  • Divisor 100%

• Birational self-maps of threefolds of (un)-bounded genus or gonality

  Blanc, J., Cheltsov, I., Duncan, A. & Prokhorov, Y., 30 Apr 2022, In: American Journal of Mathematics. 144, 2, p. 575-597

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Gonality 100%
  • Threefolds 75%
  • Genus 54%
  • Curve 41%
  • Bundle 38%

• Equivariant pliability of the projective space

  Cheltsov, I. & Sarikyan, A., 18 Feb 2022, ArXiv.

  Research output: Working paper › Preprint

  File

  • Projective Space 100%
  • Equivariant 95%
  • Subgroup 68%
  • Fibration 53%
  • Fiber 43%
• 2021

  Fuerteventura island volume

  Bogomolov, F., Cheltsov, I. & Fesenko, I., 1 Sep 2021, In: EMS Surveys in Mathematical Sciences. 8, 1, p. 1-4 4 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Tropical Geometry 100%
  • Symplectic Geometry 86%
  • Correspondence 55%
  • Symmetry 47%
  • Model 22%

• Del Pezzo surfaces with infinite automorphism groups

  Cheltsov, I. & Prokhorov, Y., 31 May 2021, In: Algebraic Geometry. 8, 3, p. 319-357

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Del Pezzo Surfaces 100%
  • Infinite Groups 85%
  • Automorphism Group 68%
  • Connected Components 37%
  • Algebraically closed 36%
• 2020

  Stable polarized del Pezzo surfaces

  Cheltsov, I. & Jesus, M-G., 26 Sep 2020, In: International Mathematics Research Notices. 2020, 18, p. 5477–5505 2 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Del Pezzo Surfaces 100%
  • Constant Scalar Curvature 97%
  • Polarization 86%
  • Metric 50%
  • Sufficient Conditions 37%

• Coble fourfold, s₆-invariant quartic threefolds, and wiman–edge sextics

  Cheltsov, I., Kuznetsov, A. & Shramov, K., 15 Mar 2020, In: Algebra and Number Theory. 14, 1, p. 213-274 62 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Threefolds 100%
  • Quartic 93%
  • Invariant 50%
  • Divisor Class Group 32%
  • Three-dimensional 32%

• DELTA INVARIANTS OF SINGULAR DEL PEZZO SURFACES

  Cheltsov, I., Park, J. & Shramov, C., 30 Jan 2020, (E-pub ahead of print) In: Journal of Geometric Analysis. 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Singular Surfaces 100%
  • Del Pezzo Surfaces 96%
  • Kähler-Einstein Metric 49%
  • Invariant 41%
  • Orbifold 40%
• 2019

  Finite collineation groups and birational rigidity

  Cheltsov, I. & Shramov, C., 13 Nov 2019, (E-pub ahead of print) In: Selecta Mathematica (New Series). 68 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Collineation 100%
  • rigidity 82%
  • Rigidity 75%
  • Classify 62%
  • Finite Group 61%

• Delta Invariants of Smooth Cubic Surfaces

  Cheltsov, I., 30 Sep 2019, In: European Journal of Mathematics. 5, 3, p. 729-762 34 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Cubic Surface 100%
  • Invariant 41%

• Unstable polarized del Pezzo surfaces

  Cheltsov, I. & Martinez-Garcia, J., 5 Aug 2019, (E-pub ahead of print) In: Transactions of the American Mathematical Society. 42 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Del Pezzo Surfaces 100%
  • Unstable 63%
  • Constant Scalar Curvature 48%
  • Obstruction 38%
  • Configuration 30%

• Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces

  Cheltsov, I., Rubinstein, Y. A. & Zhang, K., 29 Apr 2019, In: Selecta Mathematica (New Series). 36 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Log Canonical Threshold 100%
  • Del Pezzo Surfaces 86%
  • intersections 67%
  • Intersection 49%
  • thresholds 40%

• Which quartic double solids are rational?

  Cheltsov, I., Przyjalkowski, V. & Shramov, C., Apr 2019, In: Journal of Algebraic Geometry. 28, 2, p. 201-243 33 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Quartic 100%
  • Singular Point 62%
  • Rationality 36%
• 2018

  Super-rigid Affine Fano Varieties

  Cheltsov, I., Dubouloz, A. & Park, J., Nov 2018, In: Compositio Mathematica. 154, 11, p. 2462-2484 21 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Fano Variety 100%
  • Rigidity 17%
  • Analogy 17%
  • Class 5%

• Alpha-invariants and purely log terminal blow-ups

  Cheltsov, I., Park, J. & Shramov, C., Sep 2018, In: European Journal of Mathematics. 4, 3, p. 845-858 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Singularity 100%
  • Invariant 79%

• On flops and canonical metrics

  Cheltsov, I. A. & Rubinstein, Y. A., 29 Mar 2018, In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. XVIII, 1, p. 283-311

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Metric 100%
  • Del Pezzo Surfaces 98%
  • Normal Cone 95%
  • Degeneration 82%
  • Nonexistence 65%

• On a conjecture of Hong and Won

  Cheltsov, I., 11 Feb 2018, Geometric Methods in Physics XXXV. Kielanowski, P., Odzijewicz, A. & Previato, E. (eds.). Springer International Publishing Switzerland, p. 161-180 20 p. (Trends in Mathematics; no. 9783319635934).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  Open Access

  • Del Pezzo Surfaces 100%
  • Counterexample 64%
  • Invariant 42%

• On A Conjecture of Tian

  Ahmadinezhad, H., Cheltsov, I. & Schicho, J., Feb 2018, In: Mathematische zeitschrift. 288, 1-2, p. 217-241 21 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Smooth surface 100%
  • Invariant 93%
  • Hyperplane 79%
  • Counterexample 71%
  • Three-dimensional 60%
• 2017

  Coble fourfold, $S_6$-invariant quartic threefolds, and Wiman-Edge sextics

  Cheltsov, I., Kuznetsov, A. & Shramov, C., 24 Dec 2017, ArXiv.

  Research output: Working paper

  File

  • Threefolds 100%
  • Quartic 93%
  • Invariant 50%
  • Divisor Class Group 32%
  • Three-dimensional 32%

• Burkhardt quartic, Barth sextic, and the icosahedron

  Cheltsov, I., Przyjalkowski, V. & Shramov, C., 7 Oct 2017, In: International Mathematics Research Notices. 2017, p. 1-21

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Icosahedron 100%
  • Quartic 67%
  • Threefolds 47%
  • Fano Variety 29%
  • Projective Space 21%

• Birational rigidity is not an open property

  Cheltsov, I. & Grinenko, M., 30 Sep 2017, In: Bulletin of the Korean Mathematical Society. 54, 5, p. 1485-1526 42 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Rigidity 100%
  • Modulus 90%
  • Fiber 90%

• Worst Singularities of Plane Curves of Given Degree

  Cheltsov, I., Jul 2017, In: Journal of Geometric Analysis. 27, 3, p. 2302-2338 37 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Log Canonical Threshold 100%
  • Plane Curve 71%
  • Singularity 46%
  • Smooth surface 19%
  • Unstable 13%

• Birationally rigid Fano threefold hypersurfaces

  Cheltsov, I. & Park, J., Mar 2017, Memoirs of the American Mathematical Society. 130 p. (Memoirs of the American Mathematical Society; vol. 246)

  Research output: Book/Report › Book

  Open Access

  • Threefolds 100%
  • Hypersurface 77%
  • Family 42%
• 2016

  TWO RATIONAL NODAL QUARTIC THREEFOLDS

  Cheltsov, I. & Shramov, K., 30 Nov 2016, In: The Quarterly Journal of Mathematics. 67, 4, p. 573-601 28 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Threefolds 100%
  • Quartic 93%
  • Fold 82%

• Cylinders in rational surfaces

  Cheltsov, I., 17 Nov 2016, ArXiv.

  Research output: Working paper

  File

  • Blowing-up 100%
  • Rational Surface 98%

• Cylinders in singular del Pezzo surfaces

  Cheltsov, I., Park, J. & Won, J., 1 Jun 2016, In: Compositio Mathematica. 152, 06, p. 1198-1224

  Research output: Contribution to journal › Article › peer-review

  • Singular Surfaces 100%
  • Del Pezzo Surfaces 96%
  • Divisor 65%
  • Singularity 51%
  • Open set 34%

• Affine cones over smooth cubic surfaces

  Cheltsov, I., Park, J. & Wong, J., 20 May 2016, (E-pub ahead of print) In: Journal of the European Mathematical Society. 18, 7, p. 1537-1564

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Cubic Surface 100%
  • Cones 69%
  • Cone 58%

• Cylinders in del Pezzo surfaces

  Cheltsov, I., Park, J. & Won, J., 17 May 2016, In: International Mathematics Research Notices. 2017, 4, p. 1179-1230 52 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Del Pezzo Surfaces 100%
  • Algebraically closed 72%
  • Divisor 68%
  • Bundle 64%
  • Complement 59%

• Spitsbergen volume

  Bogomolov, F., Cheltsov, I., Mangolte, F., Shramov, C. & Testa, D., 1 Mar 2016, In: European Journal of Mathematics. 2, 1, p. 1-8 8 p.

  Research output: Contribution to journal › Editorial › peer-review

  • Rationality 100%
  • Thing 87%
  • Human 78%
  • Knowledge 67%

• QUARTIC DOUBLE SOLIDS WITH ICOSAHEDRAL SYMMETRY

  Cheltsov, I., PRZYJALKOWSKI, VICTOR. & Shramov, K., Mar 2016, In: European Journal of Mathematics. 2, 1, p. 96-119

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Quartic 100%
  • Symmetry 66%
• 2015

  Asymptotically log Fano varieties

  Cheltsov, I. & Rubinstein, Y. A., 5 Nov 2015, In: Advances in Mathematics. 285, p. 1241-1300

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Fano Variety 100%
  • Log Canonical Threshold 36%
  • Fano Manifolds 33%
  • Del Pezzo Surfaces 31%
  • Divisor 21%

• Cremona Groups and the Icosahedron

  Cheltsov, I. & Shramov, K., 10 Aug 2015, Chapman and Hall/CRC. 527 p.

  Research output: Book/Report › Book

• Dynamic Alpha-invariants of Del Pezzo Surfaces

  Cheltsov, I. & Martinez-Garcia, J., 2015, In: International Mathematics Research Notices.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Del Pezzo Surfaces 100%
  • Metric 50%
  • Invariant 42%
  • Edge Singularity 38%
  • Supremum 25%
• 2014

  Two local inequalities

  Cheltsov, I. A., 30 Apr 2014, In: Izvestiya: Mathematics. 78, 2, p. 375-426 52 p.

  Research output: Contribution to journal › Article › peer-review

  • Smooth surface 100%
  • Divisor 75%

• Weakly-exceptional singularities in higher dimensions

  Cheltsov, I. & Shramov, C., 30 Apr 2014, In: Journal fur die Reine und Angewandte Mathematik. 689, p. 201-241 41 p.

  Research output: Contribution to journal › Article › peer-review

  • Higher Dimensions 100%
  • Quotient 83%
  • Singularity 76%
  • Threefolds 40%
  • Gorenstein 39%

• Computing α-Invariants of Singular del Pezzo Surfaces

  Cheltsov, I. & Kosta, D., 1 Apr 2014, In: Journal of Geometric Analysis. 24, 2, p. 798-842

  Research output: Contribution to journal › Article › peer-review

  • Singular Surfaces 100%
  • Del Pezzo Surfaces 96%
  • Computing 46%
  • Invariant 41%
  • Albert Einstein 37%

• Log canonical thresholds of certain Fano hypersurfaces

  Cheltsov, I., Park, J. & Won, J., 28 Feb 2014, In: Mathematische zeitschrift. 276, 1-2, p. 51-79 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Log Canonical Threshold 100%
  • Einstein Metrics 83%
  • Quintic 77%
  • Threefolds 73%
  • Quartic 69%

• Del pezzo surfaces and local inequalities

  Cheltsov, I., 1 Jan 2014, Automorphisms in Birational and Affine Geometry. Prokhorov, Y. G., McKernan, J., Ciliberto, C., Zaidenberg, M., Cheltsov, I. & Flenner, H. (eds.). Springer New York LLC, p. 83-101 19 p. (Springer Proceedings in Mathematics and Statistics; vol. 79).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Del Pezzo Surfaces 100%
  • Smooth surface 45%
  • Divisor 34%

• Automorphisms in Birational and Affine Geometry

  Cheltsov, I., Ciliberto, C., Flenner, H., Mc, J. K., Prokhorov, Y. G. & Zaidenberg, M., 2014, Springer New York. (Springer Proceedings in Mathematics and Statistics)

  Research output: Book/Report › Book

  • Affine geometry 100%
  • Automorphism Group 66%
  • Automorphism 58%
  • Projective Variety 40%
  • Algebraic Groups 38%
• 2013

  Sporadic simple groups and quotient singularities

  Cheltsov, I. A. & Shramov, C. A., 31 Aug 2013, In: Izvestiya: Mathematics. 77, 4, p. 846-854 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Sporadic Simple Groups 100%
  • Quotient 55%
  • Singularity 50%
  • Commutator subgroup 46%
  • Central Extension 42%

• Birational geometry via moduli spaces

  Cheltsov, I., Katzarkov, L. & Przyjalkowski, V., 9 Apr 2013, Birational Geometry, Rational Curves, and Arithmetic. Springer New York, p. 93-132 40 p.

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Ginzburg-Landau Model 100%
  • Moduli Space 67%
  • Phantom 51%
  • Surfaces of General Type 48%
  • Mirror Symmetry 47%

• Five embeddings of one simple group

  Cheltsov, I. & Shramov, C., 2013, In: Transactions of the American Mathematical Society. 366, p. 1289-1331

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Simple group 100%
  • Rigidity 98%
  • Multiplier Ideals 71%
  • Birational Maps 69%
  • Fano Variety 66%
• 2012

  Del Pezzo Surfaces with Many Symmetries

  Cheltsov, I. & Wilson, A., 2012, In: Journal of Geometric Analysis. 23, 3, p. 1257-1289

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Del Pezzo Surfaces 100%
  • Classify 60%
  • Symmetry 52%
  • Invariant 42%

• Del Pezzo Zoo

  Cheltsov, I. & Shramov, C., 2012, In: Experimental mathematics. 22, 3, p. 313-326

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Del Pezzo Surfaces 100%
  • Hypersurface 65%
  • Invariant 42%