Higher degree Galois covers of CP^1 x T

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}.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-37.abs.html

References in corpus (1)

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

Cited by in corpus (3)

• Fundamental Groups of Galois Closures of Generic Projections
• Links arising from braid monodromy factorizations
• Fundamental group of Galois covers of degree 5 surfaces