On Threefolds Isogenous to a Product of Curves release_fet2ckgdjvez3gpudwbgxdsdxq

by Davide Frapporti, Christian Gleissner

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A threefold isogenous to a product of curves X is a quotient of a product of three compact Riemann surfaces of genus at least two by the free action of a finite group. In this paper we study these threefolds under the assumption that the group acts diagonally on the product. We show that the classification of these threefolds is a finite problem, present an algorithm to classify them for a fixed value of χ( O_X) and explain a method to determine their Hodge numbers. Running an implementation of the algorithm we achieve the full classification of threefolds isogenous to a product of curves with χ( O_X)=-1, under the assumption that the group acts faithfully on each factor.
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Type  article
Stage   submitted
Date   2015-01-14
Version   v2
Language   en ?
arXiv  1412.6365v2
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