Mutations of fake weighted projective spaces
type: Item
instance of: scholarly article
title: Mutations of fake weighted projective spaces
zbMATH Open document ID: 1432.52023
author: Tom Coates
author: Samuel Gonshaw
author: Alexander Kasprzyk
author: Navid Nabijou
published in: The Electronic Journal of Combinatorics
publication date: 2014-10-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1312.0921
full work available at URL: v21i4p14
review text: Summary: We characterise mutations between fake weighted projective spaces, and give explicit formulas for how the weights and multiplicity change under mutation. In particular, we prove that multiplicity-preserving mutations between fake weighted projective spaces are mutations over edges of the corresponding simplices. As an application, we analyse the canonical and terminal fake weighted projective spaces of maximal degree.
Mathematics Subject Classification ID: 52B20
Mathematics Subject Classification ID: 14J33
Mathematics Subject Classification ID: 14J45
zbMATH DE Number: 6360689
zbMATH Keywords: lattice polytopes
zbMATH Keywords: mutations
zbMATH Keywords: cluster transformations
zbMATH Keywords: mirror symmetry
zbMATH Keywords: Fano varieties
zbMATH Keywords: canonical singularities
zbMATH Keywords: terminal singularities
zbMATH Keywords: projective space
MaRDI profile type: Publication
arXiv ID: 1312.0921
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description: scientific article; zbMATH DE number 6360689