2008/08/04 by Hubert Flenner, Shulim Kaliman, Flenner, Hubert +3
Mathematics · #14R05 #14R20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14R05 #msc:14R20
paper · pdf · doi:10.48550/arxiv.0808.0459
6 pages
arxiv created 2008/08/04 · arxiv updated 2009/12/01
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.