A simply connected numerical Godeaux surface with ample canonical class
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
We prove that a recent construction of a numerical Godeaux surface due to P. Craighero and R. Gattazzo is simply connected, and show how to realize their construction as a double plane. By proving that the surface contains no (-2)-curves, we obtain that this is the first example of a simply connected surface with vanishing geometric genus and ample canonical class.
Keywords
Cite
@article{arxiv.alg-geom/9704022,
title = {A simply connected numerical Godeaux surface with ample canonical class},
author = {I. Dolgachev and C. Werner},
journal= {arXiv preprint arXiv:alg-geom/9704022},
year = {2008}
}
Comments
plain Tex 22 pages; 1 figure added, revised proofs of several results, corrected typos