On Threefolds Isogenous to a Product of Curves release_fet2ckgdjvez3gpudwbgxdsdxq

by Davide Frapporti, Christian Gleissner

Released as a article .

(2015)

Abstract

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.
In text/plain format

Archived Files and Locations

application/pdf  280.1 kB
file_j6n2xaapyndjzmvu2fqor4n2oa
web.archive.org (webarchive)
arxiv.org (repository)
Read Archived PDF
Archived
Type  article
Stage   submitted
Date   2015-01-14
Version   v2
Language   en ?
arXiv  1412.6365v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 19315d89-bf09-4ea1-bd86-4e3fb170f2eb
API URL: JSON