Mutations of fake weighted projective spaces

Coates, Tom and Gonshaw, Samuel and Kasprzyk, Alexander M. and Nabijou, Navid (2014) Mutations of fake weighted projective spaces. Electronic Journal of Combinatorics, 21 (4). P4.14. ISSN 1077-8926

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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.

Item Type: Article
Keywords: Lattice Polytopes, Mutations, Cluster Transformations, Mirror Symmetry, Fano Varieties, Canonical Singularities, Terminal Singularities, Projective Space
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
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Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 12 Nov 2015 11:55
Last Modified: 04 May 2020 16:55

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