BIRATIONALLY RIGID COMPLETE INTERSECTIONS WITH A SINGULAR POINT OF HIGH MULTIPLICITY

Pukhlikov, AV (2019) BIRATIONALLY RIGID COMPLETE INTERSECTIONS WITH A SINGULAR POINT OF HIGH MULTIPLICITY. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 62 (1). pp. 221-239.

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Official URL: http://dx.doi.org/10.1017/s0013091518000184

Abstract

We prove the birational rigidity of Fano complete intersections of index 1 with a singular point of high multiplicity, which can be close to the degree of the variety. In particular, the groups of birational and biregular automorphisms of these varieties are equal, and they are non-rational. The proof is based on the techniques of the method of maximal singularities, the generalized $4n^2$-inequality for complete intersection singularities and the technique of hypertangent divisors.

Item Type:	Article
Additional Information:	20 pages, the final version
Uncontrolled Keywords:	birational rigidity, maximal singularity, multiplicity, hypertangent divisor, complete intersection singularity
Depositing User:	Symplectic Admin
Date Deposited:	07 Nov 2017 07:51
Last Modified:	19 Jan 2023 06:50
DOI:	10.1017/S0013091518000184
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3011646