• Corpus ID: 15209029

# 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}
}
• Published 25 April 1997
• Mathematics
• arXiv: Algebraic Geometry
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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