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

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dc.creatorBauer, Ingrid
dc.creatorCatanese, Fabrizio
dc.creatorGrunewald, Fritz
dc.date2006-10-08
dc.date.accessioned2026-07-07T07:28:51Z
dc.date.available2026-07-07T07:28:51Z
dc.descriptionWe 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.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0610267
dc.identifierhttp://arxiv.org/abs/math/0610267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117885
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subject14J29, 14J10, 14E22, 14Q99, 20F05, 20F99
dc.titleThe classification of surfaces with p_g = q = 0 isogenous to a product of curves
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