Birational geometry of algebraic varieties with a pencil of Fano cyclic covers
type: Item
instance of: scholarly article
title: Birational geometry of algebraic varieties with a pencil of Fano cyclic covers
zbMATH Open document ID: 1185.14009
published in: Pure and Applied Mathematics Quarterly
publication date: 2009-06-23T00:00:00Z
review text: The paper under review proves non-rationality of a higher-dimensional variety that admits a Mori fibration whose general fiber is a Fano cyclic cover of index 1 and satisfies certain additional assumptions.
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 14E07
zbMATH DE Number: 5567761
zbMATH Keywords: birational rigidity
zbMATH Keywords: non-rationality
zbMATH Keywords: Fano variety
zbMATH Keywords: cyclic cover
author: A. V. Pukhlikov
reviewed by: I. A. Cheltsov
MaRDI profile type: Publication
full work available at URL: pamq.2009.v5.n2.a4
OpenAlex ID: W2070477928
DOI: 10.4310/PAMQ.2009.V5.N2.A4
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description: scientific article; zbMATH DE number 5567761