Topological invariance of intersection lattices of arrangements in 𝐂𝐏²

DOI10.1090/S0273-0979-1993-00409-9zbMath0847.52011arXivmath/9307228MaRDI QIDQ3138094

Tan Jiang, Stephen Shing-Toung Yau

Publication date: 9 December 1993

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

Full work available at URL: https://arxiv.org/abs/math/9307228

zbMATH Keywords

intersection latticestopological invariancearrangements in \(\mathbb{C} P^ 2\)

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items

The loop-linking number of line arrangements ⋮ Hyperplane arrangements and Milnor fibrations ⋮ Unnamed Item ⋮ The diffeomorphic types of the complements of arrangements in \(\mathbb C\mathbb P^{3}\). II. ⋮ Diffeomorphic types of complements of nice point arrangements in \(\mathbb{C}\mathbb{P}^l\) ⋮ Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients ⋮ Topology and homotopy of lattice isomorphic arrangements ⋮ The fundamental group of the complement of the complexification of a real arrangement of hyperplanes ⋮ Orlik-Solomon algebras and Tutte polynomials ⋮ Some analogs of Zariski's Theorem on nodal line arrangements

Cites Work

• On the algebra associated with a geometric lattice
• Combinatorics and topology of complements of hyperplanes
• Homotopy types of line arrangements
• On irreducible 3-manifolds which are sufficiently large
• Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I, II
• A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves
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