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1 IF - Institut Fourier

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.

Keywords : Log canonical threshold alpha invariant group compactification polytope





Author: Thibaut Delcroix -

Source: https://hal.archives-ouvertes.fr/



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