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arXiv:math/0205272 [math.AG]AbstractReferencesReviewsResources

The fundamental group of a Galois cover of CP^1 X T

Meirav Amram, David Goldberg, Mina Teicher, Uzi Vishne

Published 2002-05-26Version 1

Let T be the complex projective torus, and X the surface CP^1 X T. 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^10.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-20.abs.html
Journal: Algebr. Geom. Topol. 2 (2002) 403-432
Categories: math.AG, math.AT
Subjects: 14Q10, 14J99, 14J80, 32Q55
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