MIRROR SYMMETRY AND THE CLASSIFICATION OF ORBIFOLD DEL PEZZO SURFACES

被引：37

作者：

Akhtar, Mohammad ^{[1
]}

Coates, Tom ^{[1
]}

Corti, Alessio ^{[1
]}

Heuberger, Liana ^{[2
]}

Kasprzyk, Alexander ^{[1
]}

Oneto, Alessandro ^{[3
]}

Petracci, Andrea ^{[1
]}

Prince, Thomas ^{[1
]}

Tveiten, Ketil ^{[3
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, 180 Queens Gate, London SW7 2AZ, England

[2] Inst Math Jussieu, F-75005 Paris, France

[3] Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 02期

基金：

英国工程与自然科学研究理事会; 欧洲研究理事会;

关键词：

TORUS ACTIONS; SINGULARITIES; DEFORMATIONS; VARIETIES; GEOMETRY;

D O I：

10.1090/proc/12876

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conjectures in the simplest cases. The conjectures relate mutation-equivalence classes of Fano polygons with Q-Gorenstein deformation classes of del Pezzo surfaces.

引用

页码：513 / 527

页数：15

共 50 条

[41] Pasquale del Pezzo, Duke of Caianello, Neapolitan mathematician
Ciliberto, Ciro
Sallent Del Colombo, Emma
ARCHIVE FOR HISTORY OF EXACT SCIENCES, 2013, 67 (02) : 171 - 214
[42] CYLINDERS IN WEAK DEL PEZZO FIBRATIONS
Sawahara, Masatomo
TRANSFORMATION GROUPS, 2023, 28 (01) : 413 - 437
[43] Infrared duality in unoriented Pseudo del Pezzo
Antinucci, Andrea
Mancani, Salvo
Riccioni, Fabio
PHYSICS LETTERS B, 2020, 811
[44] Classifying sections of del Pezzo fibrations, I
Lehmann, Brian
Tanimoto, Sho
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2024, 26 (01) : 289 - 354
[45] Homological mirror symmetry for log Calabi-Yau surfaces
Hacking, Paul
Keating, Ailsa
Lutz, Wendelin
GEOMETRY & TOPOLOGY, 2022, 26 (08) : 3747 - 3833
[46] (0,2) Mirror Symmetry on Homogeneous Hopf Surfaces
Alvarez-Consul, Luis
de la Hera, Andoni de Arriba
Garcia-Fernandez, Mario
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (02) : 1211 - 1298
[47] NUMERICAL CONTRACTION FOR ORBIFOLD SURFACES
Grieve, Nathan
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2021, 16 (03): : 241 - 261
[48] On stable rationality of Fano threefolds and del Pezzo fibrations
Hassett, Brendan
Tschinkel, Yuri
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 751 : 275 - 287
[49] The E3/Z3 orbifold, mirror symmetry, and Hodge structures of Calabi-Yau type
Cacciatori, Sergio Luigi
Filippini, Sara Angela
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 138 : 70 - 89
[50] Characterization of log del Pezzo pairs via anticanonical models
Hwang, DongSeon
Park, Jinhyung
MATHEMATISCHE ZEITSCHRIFT, 2015, 280 (1-2) : 211 - 229

← 1 2 3 4 5 →