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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

Mohammad Akhtar

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), doi:10.1090/proc/12876

Journal Article Type Article
Publication Date Feb 1, 2016
Deposit Date Dec 14, 2015
Publicly Available Date Feb 1, 2016
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
DOI https://doi.org/10.1090/proc/12876
Public URL http://eprints.nottingham.ac.uk/id/eprint/31071
Publisher URL http://dx.doi.org/10.1090/proc/12876
Related Public URLs http://www.ams.org/publications/journals/journalsframework/proc
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
Additional Information First published in Proceedings of the American Mathematical Society in v. 144, no. 2, published by the American Mathematical Society.

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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