Journal article
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 smooth surface; or (ii) a surface with only singularities of type.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 638.4KB, Terms of use)
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- Publisher copy:
- 10.1017/fms.2017.10
Authors
- Publisher:
- Cambridge University Press
- Journal:
- Forum of Mathematics, Sigma More from this journal
- Volume:
- 5
- Pages:
- e18
- Publication date:
- 2017-08-15
- Acceptance date:
- 2017-04-03
- DOI:
- ISSN:
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2050-5094
- Language:
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English
- Pubs id:
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1100427
- Local pid:
-
pubs:1100427
- Deposit date:
-
2020-04-16
Terms of use
- Copyright holder:
- Kaspryzk
- Copyright date:
- 2017
- Rights statement:
- © The Author(s) 2017 This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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