Mirror symmetry and the classification of orbifold del Pezzo surfaces

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Akhtar, Mohammad, Coates, Tom, Corti, Alessio, Heuberger, Liana, Kasprzyk, Alexander M., Oneto, Alessandro, Petracci, Andrea, Prince, Thomas and Tveiten, Ketil (2016) Mirror symmetry and the classification of orbifold del Pezzo surfaces. Proceedings of the American Mathematical Society, 144 (2). pp. 513-527. ISSN 1088-6826

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Official URL: http://dx.doi.org/10.1090/proc/12876

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.

Item Type:

Article

RIS ID:

https://nottingham-repository.worktribe.com/output/978198

Additional Information:

First published in Proceedings of the American Mathematical Society in v. 144, no. 2, published by the American Mathematical Society.

Schools/Departments:

University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences

Identification Number:

https://doi.org/10.1090/proc/12876

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