Campedelli surfaces with fundamental group of order 8

Margarida Mendes Lopes; Rita Pardini; Miles Reid

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arXiv · 0805.0006

Campedelli surfaces with fundamental group of order 8

Margarida Mendes Lopes·Rita Pardini·Miles Reid

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Abstract

We prove that an etale cover Y of degree 8 of a Campedelli surface S is a complete intersection of four quadrics in P^6, obtaining as a consequence that Y is the universal cover of S, the covering group G=Gal(Y/S)is the topological fundamental group of S and that G cannot be the dihedral group of order 8. This paper patches up an incomplete manuscript of the third author.

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BibTeX RIS

Margarida Mendes Lopes, Rita Pardini, Miles Reid. 2008-04-30. Campedelli surfaces with fundamental group of order 8. https://arxiv.org/abs/0805.0006

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