Mutations of fake weighted projective spaces
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 correspondi...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Electronic Journal of Combinatorics
2014
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/30732/ |
| _version_ | 1848794046463475712 |
|---|---|
| author | Coates, Tom Gonshaw, Samuel Kasprzyk, Alexander M. Nabijou, Navid |
| author_facet | Coates, Tom Gonshaw, Samuel Kasprzyk, Alexander M. Nabijou, Navid |
| author_sort | Coates, Tom |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:09:58Z |
| format | Article |
| id | nottingham-30732 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:09:58Z |
| publishDate | 2014 |
| publisher | Electronic Journal of Combinatorics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-307322020-05-04T16:55:44Z https://eprints.nottingham.ac.uk/30732/ Mutations of fake weighted projective spaces Coates, Tom Gonshaw, Samuel Kasprzyk, Alexander M. Nabijou, Navid 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. Electronic Journal of Combinatorics 2014-10-16 Article PeerReviewed Coates, Tom, Gonshaw, Samuel, Kasprzyk, Alexander M. and Nabijou, Navid (2014) Mutations of fake weighted projective spaces. Electronic Journal of Combinatorics, 21 (4). P4.14. ISSN 1077-8926 Lattice Polytopes Mutations Cluster Transformations Mirror Symmetry Fano Varieties Canonical Singularities Terminal Singularities Projective Space http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i4p14 |
| spellingShingle | Lattice Polytopes Mutations Cluster Transformations Mirror Symmetry Fano Varieties Canonical Singularities Terminal Singularities Projective Space Coates, Tom Gonshaw, Samuel Kasprzyk, Alexander M. Nabijou, Navid Mutations of fake weighted projective spaces |
| title | Mutations of fake weighted projective spaces |
| title_full | Mutations of fake weighted projective spaces |
| title_fullStr | Mutations of fake weighted projective spaces |
| title_full_unstemmed | Mutations of fake weighted projective spaces |
| title_short | Mutations of fake weighted projective spaces |
| title_sort | mutations of fake weighted projective spaces |
| topic | Lattice Polytopes Mutations Cluster Transformations Mirror Symmetry Fano Varieties Canonical Singularities Terminal Singularities Projective Space |
| url | https://eprints.nottingham.ac.uk/30732/ https://eprints.nottingham.ac.uk/30732/ |