The fundamental group of a Galois cover of CP1 X T
Meirav Amram, David Goldberg, Mina Teicher, Uzi Vishne
Abstract
Let T be the complex projective torus, and X the surface CP1 X T. 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) = Z10.
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