Log canonical thresholds on group compactifications

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.

This article contains a part of the results from the author's PhD Thesis. v2: reference added

References in corpus (1)

• Kähler-Einstein metrics on group compactifications

Cited by in corpus (2)

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