Author:
Akhtar Mohammad E.,Kasprzyk Alexander M.
Abstract
AbstractIn previous work by Coates, Galkin and the authors, the notion of mutation between lattice polytopes was introduced. Such mutations give 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 characterization of such mutations in terms ofT-singularities. We also show that the weights involved satisfy Diophantine equations, generalizing results of Hacking and Prokhorov.
Publisher
Cambridge University Press (CUP)
Reference11 articles.
1. Fano polytopes
2. Akhtar M. Coates T. , Galkin S. and Kasprzyk A. M. , Minkowski polynomials and mutations, SIGMA: Symmetry Integrability Geom. Methods Applic. 8 (2012), 094.
3. Ilten N. O. , Mutations of Laurent polynomials and flat families with toric fibers, SIGMA: Symmetry Integrability Geom. Methods Applic. 8 (2012), 047.
4. Buczyńska W. , Fake weighted projective spaces, preprint (arxiv.org/abs/0805.1211, 2008).
5. Smoothable del Pezzo surfaces with quotient singularities
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献