Topological invariants of the complement to arrangements of rational plane curves

DOI10.1090/memo/0756zbMath1038.32025OpenAlexW1985810183MaRDI QIDQ3151294

José Ignacio Cogolludo-Agustín

Publication date: 8 October 2002

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

Full work available at URL: https://doi.org/10.1090/memo/0756

zbMATH Keywords

cohomologyOrlik-Solomon algebraresolutioncharacteristic varietyAomoto complexmultiplicity treelogarithmic De Rham theoremlogarithmic ideal sheafrational arrangement

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Special algebraic curves and curves of low genus (14H45) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Coverings of curves, fundamental group (14H30) Computational aspects of algebraic curves (14Q05) Global theory of complex singularities; cohomological properties (32S20) Topological aspects of complex manifolds (32Q55) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Topological properties in algebraic geometry (14F45) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (10)

Boundary manifolds of projective hypersurfaces ⋮ Some open questions about line arrangements in the projective plane ⋮ Local invariants of minimal generic curves on rational surfaces ⋮ Delta invariant of curves on rational surfaces I. An analytic approach ⋮ The correction term for the Riemann-Roch formula of cyclic quotient singularities and associated invariants ⋮ Characteristic varieties of quasi-projective manifolds and orbifolds ⋮ Generators of the cohomology algebra of the complement to a rational algebraic curve in the weighted projective plane image ⋮ Quasi-projectivity of even Artin groups ⋮ Cohomology algebra of plane curves, weak combinatorial type, and formality ⋮ Multivariable Alexander invariants of hypersurface complements

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