Sharp bounds on fake weighted projective spaces with canonical singularities
Algebraic Geometry
2021-05-21 v1 Combinatorics
Abstract
We give a sharp upper bound on the multiplicity of a fake weighted projective space with at worst canonical singularities. This is equivalent to giving a sharp upper bound on the index of the sublattice generated by the vertices of a lattice simplex containing only the origin as an interior lattice point. We also completely characterise when equality occurs and discuss related questions and conjectures.
Cite
@article{arxiv.2105.09635,
title = {Sharp bounds on fake weighted projective spaces with canonical singularities},
author = {Gennadiy Averkov and Alexander Kasprzyk and Martin Lehmann and Benjamin Nill},
journal= {arXiv preprint arXiv:2105.09635},
year = {2021}
}
Comments
11 pages