The fundamental group of a Galois cover of CP1×T

Meirav Amram; David Goldberg; M. Teicher; Uzi Vishne

The fundamental group of a Galois cover of CP1×T

Meirav Amram, David Goldberg, M. Teicher, Uzi Vishne

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let TT be the complex projective torus, and XX the surface CP1×Tℂℙ1×T. Let XGalXGal be its Galois cover with respect to a generic projection to CP2ℂℙ2. In this paper we compute the fundamental group of XGalXGal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that π1(XGal)=Z10π1(XGal)=ℤ10.

Original language	American English
Pages (from-to)	403-432
Journal	Algebraic & Geometric Topology
Volume	2
Issue number	20
State	Published - 2002

Cite this

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title = "The fundamental group of a Galois cover of CP1×T",

abstract = "Let TT be the complex projective torus, and XX the surface CP1×Tℂℙ1×T. Let XGalXGal be its Galois cover with respect to a generic projection to CP2ℂℙ2. In this paper we compute the fundamental group of XGalXGal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that π1(XGal)=Z10π1(XGal)=ℤ10.",

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AU - Amram, Meirav

AU - Goldberg, David

AU - Teicher, M.

AU - Vishne, Uzi

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N2 - Let TT be the complex projective torus, and XX the surface CP1×Tℂℙ1×T. Let XGalXGal be its Galois cover with respect to a generic projection to CP2ℂℙ2. In this paper we compute the fundamental group of XGalXGal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that π1(XGal)=Z10π1(XGal)=ℤ10.

AB - Let TT be the complex projective torus, and XX the surface CP1×Tℂℙ1×T. Let XGalXGal be its Galois cover with respect to a generic projection to CP2ℂℙ2. In this paper we compute the fundamental group of XGalXGal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that π1(XGal)=Z10π1(XGal)=ℤ10.

UR - http://msp.org/agt/2002/2-1/p20.xhtml

M3 - Article

VL - 2

SP - 403

EP - 432

JO - Algebraic & Geometric Topology

JF - Algebraic & Geometric Topology

IS - 20

ER -

The fundamental group of a Galois cover of CP1×T

Abstract

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