On the global log canonical threshold of Fano complete intersections

Eckl, Thomas and Pukhlikov, Aleksandr (2016) On the global log canonical threshold of Fano complete intersections. EUROPEAN JOURNAL OF MATHEMATICS, 2 (1). pp. 291-303.

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Abstract

We show that the global log canonical threshold of generic Fano complete intersections of index 1 and codimension k in (Formula presented.) is equal to 1 if (Formula presented.) and the highest degree of defining equations is at least 8. This improves the earlier result where the inequality (Formula presented.) was required, so the class of Fano complete intersections covered by our theorem is considerably larger. The result implies, in particular, that the Fano complete intersections satisfying our assumptions admit a Kähler–Einstein metric. We also show the existence of Kähler–Einstein metrics for a new finite set of families of Fano complete intersections.

Item Type:	Article
Uncontrolled Keywords:	Fano variety, Birational rigidity, Kahler-Einsteinmetric, Hypertangent divisor
Depositing User:	Symplectic Admin
Date Deposited:	06 Dec 2018 09:05
Last Modified:	19 Jan 2023 01:10
DOI:	10.1007/s40879-015-0060-6
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3029319