Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces
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Accepted version
Author(s)
Type
Journal Article
Abstract
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.
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.
Date Issued
2015-09-24
Date Acceptance
2015-05-19
Citation
Proceedings of the American Mathematical Society, 2015, 144, pp.513-527
ISSN
1088-6826
Publisher
American Mathematical Society
Start Page
513
End Page
527
Journal / Book Title
Proceedings of the American Mathematical Society
Volume
144
Copyright Statement
© 2015 American Mathematical Society. First published online in Proceedings of the American Mathematical Society, published by the American Mathematical Society
Sponsor
Commission of the European Communities
Identifier
http://arxiv.org/abs/1501.05334v2
Grant Number
240123
Subjects
math.AG
math.AG
math.CO
14J33, 14J45, 52B20 (Primary), 14J10, 14N35 (Secondary)
Notes
14 pages. v2: references updated
Publication Status
Published