Work

Mutations of Fake Weighted Projective Spaces

Year: 2014

Type: article

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.

Source: The Electronic Journal of Combinatorics

DOI: 10.37236/4288

Authors: Tom Coates, Samuel Gonshaw, Alexander Kasprzyk, Navid Nabijou

Institution: Imperial College London

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Leverhulme Trust, Royal Society, Engineering and Physical Sciences Research Council, FP7 Ideas: European Research Council

Awards: Gromov-Witten Theory: Mirror Symmetry, Modular Forms, and Integrable Systems, Extremal Laurent Polynomials, G8700811484