Alpha-invariant of toric line bundles

• Autorzy: Thibaut Delcroix
• Języki publikacji: EN

Abstrakty

EN

We generalize the work of Jian Song by computing the α-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 α-invariant from this.

Kategorie tematyczne

• 32Q15: K\"ahler manifolds
• 14M25: Toric varieties, Newton polyhedra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 1
• Strony: 13-27

Daty

wydano

2015

Twórcy

autor

Thibaut Delcroix

• Univ. Grenoble Alpes, IF, F-38000 Grenoble, France
• CNRS, IF, F-38000 Grenoble, France

Identyfikatory

DOI

10.4064/ap114-1-2