Mutations of fake weighted projective spaces

Coates, Tom; Gonshaw, Samuel; Kasprzyk, Alexander M.; Nabijou, Navid

Abstract

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.

Citation

Coates, T., Gonshaw, S., Kasprzyk, A. M., & Nabijou, N. (2014). Mutations of fake weighted projective spaces. Electronic Journal of Combinatorics, 21(4), Article P4.14

• Journal Article Type: Article
• Publication Date: Oct 16, 2014
• Deposit Date: Nov 12, 2015
• Publicly Available Date: Nov 12, 2015
• Journal: Electronic Journal of Combinatorics
• Electronic ISSN: 1077-8926
• Publisher: Electronic Journal of Combinatorics
• Peer Reviewed: Peer Reviewed
• Volume: 21
• Issue: 4
• Article Number: P4.14
• Keywords: Lattice Polytopes, Mutations, Cluster Transformations, Mirror Symmetry, Fano Varieties, Canonical Singularities, Terminal Singularities, Projective Space
• Public URL: https://nottingham-repository.worktribe.com/output/738054
• Publisher URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i4p14
• Related Public URLs: http://www.combinatorics.org/ojs/index.php/eljc/index