Moduli spaces of stable varieties and applications

Generic vanishing in characteristic p>0 and the geometry of theta divisors

Author(s): Christopher D. Hacon, Zsolt Patakfalvi
Published in: Bollettino dell'Unione Matematica Italiana, Issue vol 15, 2022, Page(s) 215-244, ISSN 1972-6724
Publisher: Unione Matematica Italiana
DOI: 10.1007/s40574-021-00304-6

Weakly special test configurations of log canonical Fano varieties

Author(s): Guodu Chen, Chuyu Zhou
Published in: Algebra & Number Theory, 2022, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2022.16.2415

Gluing theory for slc surfaces and threefolds in positive characteristic

Author(s): Quentin Posva
Published in: Annali della Scuola Normale Superiore di Pisa, 2022, ISSN 0391-173X
Publisher: Stampacchia Guido
DOI: 10.2422/2036-2145.202112_010

On wall crossing for K-stability

Author(s): Chuyu Zhou
Published in: Advances in Mathematics, Issue Volume 413, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108857

Globally $\pmb{+}$-regular varieties and the minimal model program for threefolds in mixed characteristic

Author(s): Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron, Jakub Witaszek
Published in: Publications mathématiques de l'IHÉS, Issue 138, 2023, Page(s) 69-227, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-023-00140-8

Degeneration of log Calabi-Yau pairs via log canonical places

Author(s): Guodu Chen, Chuyu Zhou
Published in: International Mathematics Research Notices, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac307

Wall crossing for moduli of stable log pairs

Author(s): Kenneth Ascher, Dori Bejleri, Giovanni Inchiostro, Zsolt Patakfalvi
Published in: Annals of Mathematics, Issue 198, 2023, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2023.198.2.7

Effective semi-ampleness of Hodge line bundles on curves I

Author(s): Chuyu Zhou
Published in: Manuscripta mathematica, 2023, ISSN 0025-2611
Publisher: Springer Verlag
DOI: 10.1007/s00229-023-01465-8

Abundance for slc surfaces over arbitrary fields

Author(s): Quentin Posva
Published in: Épijournal de Géométrie Algébrique, Issue vol 7, 2023, ISSN 2491-6765
Publisher: Épisciences
DOI: 10.46298/epiga.2023.volume7.8803

Product theorem on delta invariants via adding a general boundary

Author(s): Chuyu Zhou
Published in: The Michigan Mathematical Journal, 2022, ISSN 0026-2285
Publisher: University Of Michigan, Department of Mathematics
DOI: 10.1307/mmj/20205993

Ordinary varieties with trivial canonical bundle are not uniruled

Author(s): Zsolt Patakfalvi, Maciej Zdanowicz
Published in: Mathematische Annalen, Issue 380/3-4, 2021, Page(s) 1767-1799, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-021-02165-y

Comparison and Uniruledness of Asymptotic Base Loci

Author(s): Nikolaos Tsakanikas, Zhixin Xie
Published in: to appear in Michigan Mathematical Journal, 2024, ISSN 0026-2285
Publisher: University Of Michigan, Department of Mathematics

On the behavior of stringy motives under Galois quasi-étale covers

Author(s): Javier Carvajal-Rojas, Takehiko Yasuda
Published in: 2021
Publisher: arXiv

On the shape of K-semistable domain and wall crossing for K-stability

Author(s): Chuyu Zhou
Published in: 2023
Publisher: arXiv

Chamber decomposition for K-semistable domains and VGIT

Author(s): Chuyu Zhou
Published in: 2023
Publisher: arXiv

Abundance for large Kodaira dimension

Author(s): Chuyu Zhou
Published in: 2021
Publisher: arXiv

On multiplicities of fibers of Fano fibrations

Author(s): Guodu Chen, Chuyu Zhou
Published in: 2022
Publisher: arXiv

A Counterexample to the Log Canonical Beauville-Bogomolov Decomposition

Author(s): Fabio Bernasconi, Stefano Filipazzi, Zsolt Patakfalvi, Nikolaos Tsakanikas
Published in: 2024
Publisher: arXiv

Birational maps of Severi-Brauer surfaces, with applications to Cremona groups of higher rank

Author(s): Jérémy Blanc, Julia Schneider, Egor Yasinsky
Published in: 2022
Publisher: arXiv

MMP for Enriques Pairs and Singular Enriques Varieties

Author(s): Francesco Antonio Denisi, Ángel David Ríos Ortiz, Nikolaos Tsakanikas, Zhixin Xie
Published in: 2024
Publisher: arXiv

Test ideals in mixed characteristic: a unified theory up to perturbation

Author(s): Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron, Jakub Witaszek
Published in: 2024
Publisher: arXiv

Varieties with ample Frobenius-trace kernel

Author(s): Javier Carvajal-Rojas, Zsolt Patakfalvi
Published in: 2021
Publisher: arXiv

The Demailly--Peternell--Schneider conjecture is true in positive characteristic

Author(s): Sho Ejiri, Zsolt Patakfalvi
Published in: 2023
Publisher: arXiv

On semi-ampleness of the moduli part

Author(s): Stefano Filipazzi, Calum Spicer
Published in: 2022
Publisher: arXiv

Log K-stability of GIT-stable divisors on Fano manifolds

Author(s): Chuyu Zhou
Published in: 2021
Publisher: arXiv

Boundedness of elliptic Calabi–Yau threefolds

Author(s): Stefano Filipazzi, Christopher D. Hacon, Roberto Svaldi
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1467

Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic

Author(s): Zsolt Patakfalvi
Published in: to appear in Épijournal de Géométrie Algébrique. EPIGA, 2020, ISSN 2491-6765
Publisher: N/A

Index of coregularity zero log Calabi-Yau pairs

Author(s): Stefano Filipazzi, Mirko Mauri, Joaquín Moraga
Published in: to appear in Algebra & Number Theory, 2022, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers

Moduli of ℚ-Gorenstein pairs and applications

Author(s): Stefano Filipazzi, Giovanni Inchiostro
Published in: Journal of Algebraic Geometry, Issue 33, 2024, Page(s) 347-399, ISSN 1056-3911
Publisher: American Mathematical Society
DOI: 10.1090/jag/823

On the local étale fundamental group of KLT threefold singularities \n (with an appendix by János Kollár)

Author(s): Javier Carvajal-Rojas, Axel Stäbler
Published in: Algebraic Geometry, 2023, Page(s) 694-728, ISSN 2214-2584
Publisher: Foundation Compositio Mathematics
DOI: 10.14231/ag-2023-025

On K-semistable domains — more examples

Author(s): Chuyu Zhou
Published in: International Journal of Mathematics, Issue 35, 2024, ISSN 0129-167X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129167x23501033

Boundedness of log Fano pairs with certain K-stability

Author(s): Konstantin Loginov, Chuyu Zhou
Published in: to appear in International Mathematics Research Notices. IMRN, 2023, ISSN 1073-7928
Publisher: Oxford University Press

On the properness of the moduli space of stable surfaces over Z[1/30]

Author(s): Emelie Arvidsson, Fabio Bernasconi, Zsolt Patakfalvi
Published in: to appear in Moduli, 2024, ISSN 0000-0000
Publisher: Foundation Compositio Mathematica, London Mathematical Society and Cambridge University Press.

Gluing for stable families of surfaces in mixed characteristic

Author(s): Quentin Posva
Published in: to appear in Algebraic Geometry, 2024, ISSN 2313-1691
Publisher: Foundation Compositio Mathematica

Complements and coregularity of Fano varieties

Author(s): Fernando Figueroa, Stefano Filipazzi, Joaquín Moraga, Junyao Peng
Published in: to appear in Forum of Mathematics. Sigma, 2024, ISSN 2050-5094
Publisher: Cambridge Univ. Press

A Note on Families of K-Semistable Log-Fano Pairs

Author(s): Giulio Codogni, Zsolt Patakfalvi
Published in: Springer Proceedings in Mathematics & Statistics, Birational Geometry, Kähler–Einstein Metrics and Degenerations, 2023, Page(s) 195-203
Publisher: Springer International Publishing
DOI: 10.1007/978-3-031-17859-7_9

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