Mohammad Akhtar
Mirror symmetry and the classification of orbifold del Pezzo surfaces
Akhtar, Mohammad; Coates, Tom; Corti, Alessio; Heuberger, Liana; Kasprzyk, Alexander M.; Oneto, Alessandro; Petracci, Andrea; Prince, Thomas; Tveiten, Ketil
Authors
Tom Coates
Alessio Corti
Liana Heuberger
Alexander M. Kasprzyk
Alessandro Oneto
Andrea Petracci
Thomas Prince
Ketil Tveiten
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.
Citation
Akhtar, M., Coates, T., Corti, A., Heuberger, L., Kasprzyk, A. M., Oneto, A., …Tveiten, K. (2016). Mirror symmetry and the classification of orbifold del Pezzo surfaces. Proceedings of the American Mathematical Society, 144(2), 513-527. https://doi.org/10.1090/proc/12876
Journal Article Type | Article |
---|---|
Publication Date | Feb 1, 2016 |
Deposit Date | Dec 14, 2015 |
Publicly Available Date | Mar 29, 2024 |
Journal | Proceedings of the American Mathematical Society |
Print ISSN | 0002-9939 |
Electronic ISSN | 1088-6826 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
Volume | 144 |
Issue | 2 |
Pages | 513-527 |
DOI | https://doi.org/10.1090/proc/12876 |
Public URL | https://nottingham-repository.worktribe.com/output/978198 |
Publisher URL | http://dx.doi.org/10.1090/proc/12876 |
Related Public URLs | http://www.ams.org/publications/journals/journalsframework/proc |
Additional Information | First published in Proceedings of the American Mathematical Society in v. 144, no. 2, published by the American Mathematical Society. |
Files
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