Birationally rigid complete intersections with a singular point of high multiplicity

Pukhlikov, AV Birationally rigid complete intersections with a singular point of high multiplicity.

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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:	19 pages
Uncontrolled Keywords:	math.AG, math.AG, 14E05, 14E07
Depositing User:	Symplectic Admin
Date Deposited:	24 Apr 2017 06:35
Last Modified:	19 Jan 2023 07:05
Related URLs:	http://arxiv.org/abs/1704.03795v1
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3007079

Available Versions of this Item

• Birationally rigid complete intersections with a singular point of high multiplicity. (deposited 24 Apr 2017 06:35) [Currently Displayed]
  • BIRATIONALLY RIGID COMPLETE INTERSECTIONS WITH A SINGULAR POINT OF HIGH MULTIPLICITY. (deposited 07 Nov 2017 07:51)