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Smoothing toric Fano surfaces using the Gross-Siebert algorithm

Abstract:

A toric del Pezzo surface XP with cyclic quotient singularities determines and is determined by a Fano polygon P.We construct an affine manifold with singularities that partially smooths the boundary of P; this is a tropical version of a Q-Gorenstein partial smoothing of XP . We implement a mild generalization of the Gross–Siebert reconstruction algorithm – allowing singularities that are not locally rigid – and thereby construct (a formal version of) this partial smoothing directly from the ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1112/plms.12153

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Publisher:
Wiley Publisher's website
Journal:
Proceedings of the London Mathematical Society Journal website
Volume:
117
Issue:
3
Pages:
617-660
Publication date:
2018-06-12
Acceptance date:
2018-04-27
DOI:
EISSN:
1460-244X
ISSN:
0024-6115
Pubs id:
pubs:846465
URN:
uri:cf594b9e-d22b-4d5a-b404-cc9a79691773
UUID:
uuid:cf594b9e-d22b-4d5a-b404-cc9a79691773
Local pid:
pubs:846465

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