Log canonical thresholds on group compactifications
Algebraic Geometry
2020-09-16 v2 Differential Geometry
Abstract
We compute the log canonical thresholds of non-negatively curved singular hermitian metrics on ample linearized line bundles on bi-equivariant group compactifications of complex reductive groups. To this end, we associate to any such metric a convex function whose asymptotic behavior determines the log canonical threshold. As a consequence we obtain a formula for the alpha invariant of these line bundles, in terms of the polytope associated to the group compactification.
Cite
@article{arxiv.1510.05079,
title = {Log canonical thresholds on group compactifications},
author = {Thibaut Delcroix},
journal= {arXiv preprint arXiv:1510.05079},
year = {2020}
}
Comments
This article contains a part of the results from the author's PhD Thesis. v2: reference added