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2002 The fundamental group of a Galois cover of $\mathbb{CP}^1 \times T$
Meirav Amram, David Goldberg, Mina Teicher, Uzi Vishne
Algebr. Geom. Topol. 2(1): 403-432 (2002). DOI: 10.2140/agt.2002.2.403

Abstract

Let T be the complex projective torus, and X the surface 1×T. Let XGal be its Galois cover with respect to a generic projection to 2. In this paper we compute the fundamental group of XGal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that π1(XGal)=10.

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Meirav Amram. David Goldberg. Mina Teicher. Uzi Vishne. "The fundamental group of a Galois cover of $\mathbb{CP}^1 \times T$." Algebr. Geom. Topol. 2 (1) 403 - 432, 2002. https://doi.org/10.2140/agt.2002.2.403

Information

Received: 15 March 2002; Revised: 9 May 2002; Accepted: 15 May 2002; Published: 2002
First available in Project Euclid: 21 December 2017

zbMATH: 1037.14006
MathSciNet: MR1917060
Digital Object Identifier: 10.2140/agt.2002.2.403

Subjects:
Primary: 14J99, 14Q10
Secondary: 14J80, 32Q55

Rights: Copyright © 2002 Mathematical Sciences Publishers

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