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Higher degree Galois covers of CP^1 x T

Meirav Amram·David Goldberg
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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}.

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Meirav Amram, David Goldberg. 2004-10-26. Higher degree Galois covers of CP^1 x T. https://doi.org/10.2140/agt.2004.4.841

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