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

DOI10.1142/S0218196708004895zbMath1156.14310arXivmath/0501318OpenAlexW1781661894MaRDI QIDQ3601325

Mina Teicher, Meirav Amram, Uzi Vishne

Publication date: 10 February 2009

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501318

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (7)

ARTIN COVERS OF THE BRAID GROUPS ⋮ Galois closure and Lagrangian varieties ⋮ Covers of D-type Artin groups ⋮ Fundamental groups of Galois covers of degree 5 surfaces ⋮ Fundamental group of Galois covers of degree 6 surfaces ⋮ Links arising from braid monodromy factorizations ⋮ The fundamental groups of Galois covers of planar Zappatic deformations of type Ek

Cites Work

• Simply-connected algebraic surfaces of positive index
• Finite fundamental groups, free over \(\mathbb Z/c\mathbb Z\), for Galois covers of \(\mathbb C\mathbb P^2\)
• The fundamental group of a \(\mathbb{C}\mathbb{P}^2\) complement of a branch curve as an extension of a solvable group by a symmetric group
• The fundamental group of a Galois cover of \(\mathbb{C} \mathbb{P}^1 \times T\)
• On the degeneration, regeneration and braid monodromy of \(T\times T\)
• Fundamental groups of complements of plane curves and symplectic invariants
• Braid group technique in complex geometry. V: The fundamental group of a complement of a branch curve of a Veronese generic projection
• On Galois covers of Hirzebruch surfaces

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