Mutations of fake weighted projective planes

Akhtar, Mohammad and Kasprzyk, Alexander M. (2016) Mutations of fake weighted projective planes. Proceedings of the Edinburgh Mathematical Society, 59 (2). pp. 271-285. ISSN 1464-3839

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Abstract

In previous work by Coates, Galkin, and the authors, the notion of mutation between lattice polytopes was introduced. Such a mutation gives rise to a deformation between the corresponding toric varieties. In this paper we study one-step mutations that correspond to deformations between weighted projective planes, giving a complete characterisation of such mutations in terms of T-singularities. We show also that the weights involved satisfy Diophantine equations, generalising results of Hacking-Prokhorov.

Item Type: Article
Additional Information: Copyright Cambridge University Press
Keywords: weighted projective space; mutation; T-singularity
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1017/S0013091515000115
Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 11 May 2016 08:54
Last Modified: 01 Nov 2016 18:20
URI: http://eprints.nottingham.ac.uk/id/eprint/33236

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