Abstract
We compute the torsion part of the Picard group of a numerical Godeaux surface Y which was constructed by Stagnaro [7] as a double cover of $\mathbb{P}^{2}$ branching along a curve of degree 10. We show that this surface is a classical Godeaux surface whose universal cover is the Fermat quintic in $\mathbb{P}^{3}$ (cf. [1, p.170]).
Citation
Masaaki Murakami. "The torsion group of a certain numerical Godeaux surface." J. Math. Kyoto Univ. 41 (2) 323 - 333, 2001. https://doi.org/10.1215/kjm/1250517636
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