THE FUNDAMENTAL GROUP OF GALOIS COVER OF THE SURFACE 𝕋 × 𝕋-Reference-Cited by-同舟云学术

THE FUNDAMENTAL GROUP OF GALOIS COVER OF THE SURFACE 𝕋 × 𝕋

Published:2008-12 Issue:08 Volume:18 Page:1259-1282
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

AMRAM MEIRAV¹,TEICHER MINA²,VISHNE UZI²

Affiliation:

1. Einstein Institute of Mathematics, Hebrew University, Jerusalem, Israel

2. Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel

Abstract

This is the final paper in a series of four, concerning the surface 𝕋 × 𝕋 embedded in ℂℙ8, where 𝕋 is the one-dimensional torus. In this paper we compute the fundamental group of the Galois cover of the surface with respect to a generic projection onto ℂℙ2, and show that it is nilpotent of class 3. This is the first time such a group is presented as the fundamental group of a Galois cover of a surface.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196708004895

Reference14 articles.

1. Fundamental groups of complements of plane curves and symplectic invariants

2. The fundamental group of a Galois cover of ℂℙ1×T

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