Log canonical thresholds on group compactifications

Thibaut Delcroix
2017 Algebraic Geometry  
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.
doi:10.14231/ag-2017-010 fatcat:ho7swext6vej5bilajvqocxcee