Mutations of Fake Weighted Projective Spaces

  • Tom Coates
  • Samuel Gonshaw
  • Alexander Kasprzyk
  • Navid Nabijou
DOI: https://doi.org/10.37236/4288
Keywords: Lattice polytopes, mutations, cluster transformations, mirror symmetry, Fano varieties, canonical singularities, terminal singularities, projective space

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.
Published
2014-10-16
Issue
Volume 21, Issue 4 (2014)
Article Number
P4.14