On the Danilov-Gizatullin Isomorphism Theorem

Details On the Danilov-Gizatullin Isomorphism Theorem On the Danilov-Gizatullin Isomorphism Theorem

2008-08-04

arxiv.org/abs/0808.0459v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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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