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Higher degree Galois covers of ℂℙ<sup>1</sup>×<i>T</i>

Higher degree Galois covers of ℂℙ<sup>1</sup>×<i>T</i>

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, …