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arxiv: 0805.0006 · v1 · submitted 2008-04-30 · 🧮 math.AG

Campedelli surfaces with fundamental group of order 8

classification 🧮 math.AG
keywords groupcampedellicoverfundamentalorderauthorcannotcomplete
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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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