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arXiv:0808.0459 [math.AG]AbstractReferencesReviewsResources

On the Danilov-Gizatullin Isomorphism Theorem

Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg

Published 2008-08-04Version 1

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.

Comments: 6 pages
Categories: math.AG
Subjects: 14R05, 14R20
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