Minimality and mutation-equivalence of polygons

Tools

Kasprzyk, Alexander M., Nill, Benjamin and Prince, Thomas (2017) Minimality and mutation-equivalence of polygons. Forum of Mathematics, Sigma, 5 (e18). pp. 1-48. ISSN 2050-5094

Full text not available from this repository.

Official URL: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma/article/minimality-and-mutationequivalence-of-polygons/7A51841FD8742360873C613EF6F1BF75

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 1/3(1,1).

Item Type:

Article

RIS ID:

https://nottingham-repository.worktribe.com/output/878237

Schools/Departments:

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

Identification Number:

https://doi.org/10.1017/fms.2017.10

Related URLs: