Higher degree Galois covers of CP1 x T
Meirav Amram, David Goldberg
Abstract
Let T be a complex torus, and X the surface CP1 x T. If T is embedded in CPn-1 then X may be embedded in CP2n-1. Let XGal be its Galois cover with respect to a generic projection to CP2. In this paper we compute the fundamental group of XGal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that pi1(XGal) = Z4n-2.
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