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The classification of surfaces with pg = q = 1 isogenous to a product of curves

  • Giovanna Carnovale and Francesco Polizzi
Published/Copyright: January 30, 2009
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Advances in Geometry
From the journal Volume 9 Issue 2

Abstract

A smooth, projective surface S is said to be isogenous to a product if there exist two smooth curves C, F and a finite group G acting freely on C × F so that S = (C × F)/G. In this paper we classify all surfaces with pg = q = 1 which are isogenous to a product.

Received: 2007-06-13
Revised: 2008-04-18
Published Online: 2009-01-30
Published in Print: 2009-May

© de Gruyter 2009

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