Alpha-invariant of Toric Line Bundles
Algebraic Geometry
2020-11-17 v2 Complex Variables
Abstract
We generalize the work of Jian Song to compute the alpha invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the alpha invariant from this.
Keywords
Cite
@article{arxiv.1409.0961,
title = {Alpha-invariant of Toric Line Bundles},
author = {Thibaut Delcroix},
journal= {arXiv preprint arXiv:1409.0961},
year = {2020}
}
Comments
13 pages. Minor corrections, and references added. Published version