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

Meirav Amram, David Theo Goldberg, Mina Teicher, Uzi Vishne

Type: Article

Publication Date: 2002-05-25

Citations: 17

DOI: https://doi.org/10.2140/agt.2002.2.403

Abstract

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 Moishezon-Teicher braid monodromy algorithm and group calculations.We show that π 1 (X Gal ) = Z 10 .

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