Birational automorphisms of a three-dimensional double quadric with an elementary singularity

Details Birational automorphisms of a three-dimensional double quadric with an elementary singularity Birational automorphisms of a three-dimensional double quadric with an elementary singularity

1998-08-17

arxiv.org/abs/math/9808073v1

Matematicheskii Sbornik, v. 189, 1 (1998), p. 101-118 (in russian)

Mathematics

Algebraic Geometry

18 pages

Scientific paper

It is proved that the group of birational automorphisms of a three-dimensional double quadric with a singular point arising from a double point on the branch divisor is a semidirect product of the free group generated by birational involutions of a special form and the group of regular automorphisms. The proof is based on the method of `untwisting' maximal singularities of linear systems.

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