Finiteness of the polyhedral Q-codegree spectrum
Combinatorics
2013-01-22 v1 Algebraic Geometry
Abstract
In this paper we show that the spectrum of the Q-codegree of a d-dimensional lattice polytope is finite above any positive threshold in the class of lattice polytopes with \alpha-canonical normal fan for any fixed \alpha>0. For \alpha=1/r this includes lattice polytopes with Q-Gorenstein normal fan of index r. In particular, this proves Fujita's Spectrum Conjecture for polarized varieties in the case of Q-Gorenstein toric varieties of index r.
Cite
@article{arxiv.1301.4967,
title = {Finiteness of the polyhedral Q-codegree spectrum},
author = {Andreas Paffenholz},
journal= {arXiv preprint arXiv:1301.4967},
year = {2013}
}
Comments
9 pages