Birational rigidity of a three-dimensional double cone

Abstract

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.

20 pages; AmsLaTex

References in corpus (2)

• Essentials of the method of maximal singularities
• Birational automorphisms of a three-dimensional double quadric with an elementary singularity

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