Canonical and log canonical thresholds of Fano complete intersections

Pukhlikov, Aleksandr V (2018) Canonical and log canonical thresholds of Fano complete intersections. EUROPEAN JOURNAL OF MATHEMATICS, 4 (1). pp. 381-398.

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Abstract

It is proved that the global log canonical threshold of a Zariski general Fano complete intersection of index 1 and codimension $k$ in ${\mathbb P}^{M+k}$ is equal to one, if $M\geqslant 2k+3$ and the maximum of the degrees of defining equations is at least 8. This is an essential improvements of the previous results about log canonical thresholds of Fano complete intersections. As a corollary we obtain the existence of K\" ahler-Einstein metrics on generic Fano complete intersections described above.

Item Type:	Article
Additional Information:	17 pages
Uncontrolled Keywords:	Fano variety, Log canonical singularity, Hypertangent divisor, Kahler-Einstein metric
Depositing User:	Symplectic Admin
Date Deposited:	10 Apr 2017 06:41
Last Modified:	19 Jan 2023 07:06
DOI:	10.1007/s40879-017-0152-6
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3006882