Higher degree Galois covers of CP^1 x T
Algebraic Geometry
2014-10-01 v1 Geometric Topology
Abstract
Let T be a complex torus, and X the surface CP^1 x T. If T is embedded in CP^{n-1} then X may be embedded in CP^{2n-1}. Let X_Gal be its Galois cover with respect to a generic projection to CP^2. In this paper we compute the fundamental group of X_Gal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that pi_1(X_Gal) = Z^{4n-2}.
Keywords
Cite
@article{arxiv.math/0410554,
title = {Higher degree Galois covers of CP^1 x T},
author = {Meirav Amram and David Goldberg},
journal= {arXiv preprint arXiv:math/0410554},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-37.abs.html