Birational automorphisms of a three-dimensional double quadric with an elementary singularity
Algebraic Geometry
2015-06-26 v1
Abstract
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.
Cite
@article{arxiv.math/9808073,
title = {Birational automorphisms of a three-dimensional double quadric with an elementary singularity},
author = {Mikhail Grinenko},
journal= {arXiv preprint arXiv:math/9808073},
year = {2015}
}
Comments
18 pages