INTERSECTION COHOMOLOGY, MONODROMY AND THE MILNOR FIBER

DOI10.1142/S0129167X0900539XzbMath1183.32009arXivmath/0404312MaRDI QIDQ3632274

David B. Massey

Publication date: 23 June 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404312

zbMATH Keywords

monodromyvanishing cyclesintersection cohomologyMilnor fiber

Mathematics Subject Classification ID

Topology of analytic spaces (32C18) Analytic sheaves and cohomology groups (32C35) Germs of analytic sets, local parametrization (32B10) Analytic subsets of affine space (32B15)

Related Items

Local cohomology multiplicities in terms of étale cohomology ⋮ The perverse eigenspace of one for the Milnor monodromy ⋮ Rational homology manifolds and hypersurface normalizations ⋮ Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations ⋮ Intersection homology \(\mathcal{D}\)-module and Bernstein polynomials associated with a complete intersection ⋮ On a resolution of singularities with two strata

Cites Work

• Unnamed Item
• Generalized Poincaré's conjecture in dimensions greater than four
• Intersection homology theory
• Global Sebastiani-Thom theorem for polynomial maps
• Variation mappings on singularities with a 1-dimensional critical locus
• The Seifert matrices of Milnor fiberings defined by holomorphic functions
• Un résultat sur la monodromie. (A result on the monodromy)
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials
• The recognition problem: What is a topological manifold?
• Singular Points of Complex Hypersurfaces. (AM-61)