Alpha-invariant of Toric Line BundlesReport as inadecuate




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1 IF - Institut Fourier

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 : polytope toric alpha invariant log canonical threshold





Author: Thibaut Delcroix -

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



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