Published June 30, 2000 | Version v1
Journal article Metadata-only

Birationally rigid Fano double hypersurfaces

Creators

  • 1. V.A. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow (Russian Federation)

Description

A general Fano double hypersurface V of index 1 (σ:V→Qm subset of PM+1 is a double cover branched over a smooth divisor W=W*2l subset of PM+1, here m+l=M+1≥5) is proved to be birationally superrigid; in particular, such a hypersurface admits no non-trivial structures of a fibration into uniruled varieties, and it is non-rational. Its groups of birational and biregular automorphisms coincide

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2000v191n06ABEH000485

Additional details

Identifiers

DOI
10.1070/SM2000v191n06ABEH000485;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
191
Journal Issue
6
Journal Page Range
p. 883-908
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40073352
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GROUP THEORY; INDEXES; SURFACES
Descriptors DEC
DOCUMENT TYPES; MATHEMATICS