The classification of surfaces with p_g = q = 0 isogenous to a product of curves

By Ingrid Bauer, F. Catanese, Fritz Grunewald. 2006

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We classify all the surfaces with p_g = q = 0 which admit an unramified covering which is isomorphic to a product of curves. Beyond the trivial case \PP^1 x \PP^1 we find 17 families which we explicitly describe. We reduce the problem to a combinatorial description of certain generating systems for finite groups which we solve using also MAGMA's library of groups of small order.

Subfields: Applied Mathematics, Computational Mechanics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5d51ca0aa396a124bd3a8ab5983dd5324c1aa1fd