On the Danilov-Gizatullin Isomorphism Theorem
Algebraic Geometry
2008-08-05 v1
Abstract
A Danilov-Gizatullin surface is a normal affine surface V, which is a complement to an ample section S in a Hirzebruch surface of index d. By a surprising result due to Danilov and Gizatullin, V depends only on the self-intersection number of S and neither on d nor on S. In this note we provide a new and simple proof of this Isomorphism Theorem.
Cite
@article{arxiv.0808.0459,
title = {On the Danilov-Gizatullin Isomorphism Theorem},
author = {Hubert Flenner and Shulim Kaliman and Mikhail Zaidenberg},
journal= {arXiv preprint arXiv:0808.0459},
year = {2008}
}
Comments
6 pages