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

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