Birational rigidity of a three-dimensional double cone

Mathematics – Algebraic Geometry

Scientific paper

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20 pages; AmsLaTex

Scientific paper

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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