The torsion group of a certain numerical Godeaux surface

Murakami, Masaaki

J. Math. Kyoto Univ., Tome 41 (2001) no. 4, p. 323-333 / Harvested from Project Euclid

Résumé

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]).

Publié le : 2001-05-15
Classification: 14J29

@article{1250517636,
     author = {Murakami, Masaaki},
     title = {The torsion group of a certain numerical Godeaux surface},
     journal = {J. Math. Kyoto Univ.},
     volume = {41},
     number = {4},
     year = {2001},
     pages = { 323-333},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250517636}
}

Murakami, Masaaki. The torsion group of a certain numerical Godeaux surface. J. Math. Kyoto Univ., Tome 41 (2001) no. 4, pp.  323-333. http://gdmltest.u-ga.fr/item/1250517636/