# A simply connected numerical Godeaux surface with ample canonical class

@article{Dolgachev1997ASC, title={A simply connected numerical Godeaux surface with ample canonical class}, author={Igor Dolgachev and Caryn Werner}, journal={arXiv: Algebraic Geometry}, year={1997} }

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.

## 34 Citations

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