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The fundamental group of a Galois cover of ℂℙ<sup>1</sup>×<i>T</i>

The fundamental group of a Galois cover of ℂℙ<sup>1</sup>×<i>T</i>

Let T be the complex projective torus, and X the surface CP 1 × 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 …