On arithmetic Zariski pairs in degree 6

DOI10.1515/ADVGEOM.2008.015zbMath1153.14017arXivmath/0611596MaRDI QIDQ3518757

Ichiro Shimada

Publication date: 11 August 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611596

zbMATH Keywords

Zariski pairssextic curves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Global ground fields in algebraic geometry (14G25) Topological properties in algebraic geometry (14F45)

Related Items (7)

Zariski-van Kampen method and transcendental lattices of certain singular \(K3\) surfaces ⋮ Discriminantal groups and Zariski pairs of sextic curves ⋮ An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group ⋮ Some new Zariski pairs of sextic curves ⋮ Some Open Questions on Arithmetic Zariski Pairs ⋮ Complements to Ample Divisors and Singularities ⋮ On the Artal–Carmona–Cogolludo construction

Cites Work

• Complete intersections with middle Picard number 1 defined over \({\mathbb{Q}}\)
• Symmetric plane curves with nodes and cusps
• Topologically distinct conjugate varieties with finite fundamental group
• Braid monodromy and topology of plane curves
• Supersingular \(K3\) surfaces in odd characteristic and sextic double planes
• Sextic curves with simple singularities
• Topology and combinatorics of real line arrangements
• Effective invariants of braid monodromy
• The Topological Discriminant Group of a Riemann Surface of Genus p

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