Effective invariants of braid monodromy

DOI10.1090/S0002-9947-06-03881-5zbMath1109.14013arXivmath/0105157OpenAlexW1953640109MaRDI QIDQ3420306

José Ignacio Cogolludo-Agustín, Jorge Carmona Ruber, Enrique Artal Bartolo

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105157

zbMATH Keywords

group representationsplane curvebraid monodromy

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Braid groups; Artin groups (20F36) Plane and space curves (14H50) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Coverings of curves, fundamental group (14H30) Singularities of curves, local rings (14H20)

Related Items (14)

Zariski-van Kampen method and transcendental lattices of certain singular \(K3\) surfaces ⋮ Geography of irreducible plane sextics ⋮ Criterion of Hurwitz equivalence for quasipositive factorizations of 3-braids. ⋮ Non-homeomorphic Galois conjugate Beauville structures on \(\mathrm{PSL}(2,p)\). ⋮ On arithmetic Zariski pairs in degree 6 ⋮ Braid monodromy and topology of plane curves ⋮ Arbitrarily large Galois orbits of non-homeomorphic surfaces ⋮ An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group ⋮ On deformations of singular plane sextics ⋮ Plane sextics with a type \(\mathbf E_{6}\) singular point ⋮ Products of conjugacy classes in $\mathrm {SL}_2(\mathbb {R})$ ⋮ Conjugate varieties with distinct real cohomology algebras ⋮ Some Open Questions on Arithmetic Zariski Pairs ⋮ Triangular curves and cyclotomic Zariski tuples

Uses Software

• GAP

Cites Work

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• On extremal rational elliptic surfaces
• Invariants of plane algebraic curves via representations of the braid groups
• Topologically distinct conjugate varieties with finite fundamental group
• Braid monodromy and topology of plane curves
• Sextic curves with simple singularities
• Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
• Diffeomorphisms, isotopies, and braid monodromy factorizations of plane cuspidal curves
• SEXTICS WITH SINGULAR POINTS IN SPECIAL POSITION

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