Effective Birational Rigidity of Fano Double Hypersurfaces

Eckl, Thomas and Pukhlikov, Aleksandr (2018) Effective Birational Rigidity of Fano Double Hypersurfaces. Arnold Mathematical Journal, 4 (3-4). pp. 505-521.

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Official URL: http://dx.doi.org/10.1007/s40598-019-00106-x

Abstract

We prove birational superrigidity of Fano double hypersurfaces of index one with quadratic and multi-quadratic singularities, satisfying certain regularity conditions, and give an effective explicit lower bound for the codimension of the set of non-rigid varieties in the natural parameter space of the family. The lower bound is quadratic in the dimension of the variety. The proof is based on the techniques of hypertangent divisors combined with the recently discovered 4 n 2 -inequality for complete intersection singularities.

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	19 Mar 2019 09:04
Last Modified:	19 Jan 2023 00:56
DOI:	10.1007/s40598-019-00106-x
Open Access URL:	https://link.springer.com/article/10.1007/s40598-0...
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3034462