The fundamental group of a Galois cover of CP1×T

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

Research output: Contribution to journalArticlepeer-review


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 languageAmerican English
Pages (from-to)403-432
JournalAlgebraic & Geometric Topology
Issue number20
StatePublished - 2002


Dive into the research topics of 'The fundamental group of a Galois cover of CP1×T'. Together they form a unique fingerprint.

Cite this