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arXiv · 0808.0459

On the Danilov-Gizatullin Isomorphism Theorem

Hubert Flenner·Shulim Kaliman·Mikhail Zaidenberg
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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.

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Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg. 2008-08-04. On the Danilov-Gizatullin Isomorphism Theorem. https://arxiv.org/abs/0808.0459

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