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arXiv · alg-geom/9704022

A simply connected numerical Godeaux surface with ample canonical class

I. Dolgachev·C. Werner
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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.

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I. Dolgachev, C. Werner. 1998-02-03. A simply connected numerical Godeaux surface with ample canonical class. https://arxiv.org/abs/alg-geom/9704022

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