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Minimality and mutation-equivalence of polygons

Abstract:

We introduce a concept of minimality for Fano polygons. We show that, up to mutation, there are only finitely many Fano polygons with given singularity content, and give an algorithm to determine representatives for all mutation-equivalence classes of such polygons. This is a key step in a program to classify orbifold del Pezzo surfaces using mirror symmetry. As an application, we classify all Fano polygons such that the corresponding toric surface is qG-deformation-equivalent to either (i) a...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/fms.2017.10

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Cambridge University Press Publisher's website
Journal:
Forum of Mathematics, Sigma Journal website
Volume:
5
Pages:
e18
Publication date:
2017-08-15
Acceptance date:
2017-04-03
DOI:
ISSN:
2050-5094
Language:
English
Pubs id:
1100427
Local pid:
pubs:1100427
Deposit date:
2020-04-16

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