Mutations of Fake Weighted Projective Spaces

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.

22 pages, 1 figure

References in corpus (7)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Mirror Symmetry and Fano Manifolds
• Minkowski Polynomials and Mutations
• Fake weighted projective spaces
• Mutations of Laurent Polynomials and Flat Families with Toric Fibers
• Mutations of fake weighted projective planes
• Classifying terminal weighted projective space

Cited by in corpus (2)

• Minimality and mutation-equivalence of polygons
• Del Pezzo surfaces of Picard number one admitting a torus action