The Coxeter Quotient of the Fundamental Group of a Galois Cover of 𝕋 × 𝕋

DOI10.1080/00927870500346024zbMath1086.14014arXivmath/0404459OpenAlexW2048565751MaRDI QIDQ5201391

Mina Teicher, Meirav Amram, Uzi Vishne

Publication date: 19 April 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404459

zbMATH Keywords

Coxeter groupsfundamental groupGalois covercomplement of branch curve

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Homotopy theory and fundamental groups in algebraic geometry (14F35) Special surfaces (14J25)

Related Items

ARTIN COVERS OF THE BRAID GROUPS, THE FUNDAMENTAL GROUP OF THE GALOIS COVER OF HIRZEBRUCH SURFACE F₁(2, 2), Covers of D-type Artin groups, Degenerations and fundamental groups related to some special toric varieties, The fundamental group of a Galois cover of \(\mathbb{C} \mathbb{P}^1 \times T\)

Cites Work

• Simply-connected algebraic surfaces of positive index
• The fundamental group of a Galois cover of \(\mathbb{C} \mathbb{P}^1 \times T\)
• On the degeneration, regeneration and braid monodromy of \(T\times T\)
• On Galois covers of Hirzebruch surfaces
• Coxeter covers of the symmetric groups
• On the Fundamental Group of an Algebraic Curve