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MIRROR SYMMETRY AND THE CLASSIFICATION OF ORBIFOLD DEL PEZZO SURFACES
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Number of Authors: 9
2016 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 144, no 2, 513-527 p.Article in journal (Refereed) Published
Abstract [en]

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.

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2016. Vol. 144, no 2, 513-527 p.
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Mathematics
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URN: urn:nbn:se:su:diva-125631DOI: 10.1090/proc/12876ISI: 000366328000005OAI: oai:DiVA.org:su-125631DiVA: diva2:895620
Available from: 2016-01-19 Created: 2016-01-15 Last updated: 2016-01-19Bibliographically approved

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Oneto, AlessandroTveiten, Ketil
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