The classification of surfaces with pg = q = 0 isogenous to a product of curves
Abstract
We classify all the surfaces with pg = q = 0 which admit an unramified covering which is isomorphic to a product of curves. Beyond the trivial case 1 x 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.
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