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

Meirav Amram·David Goldberg·Mina Teicher·Uzi Vishne
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Abstract

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.

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Meirav Amram, David Goldberg, Mina Teicher, Uzi Vishne. 2002-05-26. The fundamental group of a Galois cover of CP^1 X T. https://doi.org/10.2140/agt.2002.2.403

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