Birational rigidity of a three-dimensional double cone

It is proved that a three-dimensional double cone is a birationally rigid variety. We also compute the group of birational automorphisms of such a variety. This work is based on the method of "untwisting" maximal singularities of linear system.

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Bibliographic Details
Main Author Grinenko, Mikhail
Format Journal Article
LanguageEnglish
Published 31.08.1998
Subjects
Mathematics - Algebraic Geometry
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Summary:It is proved that a three-dimensional double cone is a birationally rigid variety. We also compute the group of birational automorphisms of such a variety. This work is based on the method of "untwisting" maximal singularities of linear system.
DOI:10.48550/arxiv.math/9808132