On indices of 1-forms on determinantal singularities

DOI10.1134/S0081543809040099zbMath1202.32023arXiv0806.0219MaRDI QIDQ600687

Wolfgang Ebeling, Sabir M. Gusein-Zade

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0219

zbMATH Keywords

Poincaré-Hopf indexessentially isolated determinantal singularities

Mathematics Subject Classification ID

Deformations of complex singularities; vanishing cycles (32S30)

Related Items (18)

Characteristic Classes ⋮ Differential forms on quasihomogeneous noncomplete intersections ⋮ The local Euler obstruction and topology of the stabilization of associated determinantal varieties ⋮ An observation concerning the vanishing topology of certain isolated determinantal singularities ⋮ The Euler obstruction of a function on a determinantal variety and on a curve ⋮ The vanishing Euler characteristic of an isolated determinantal singularity ⋮ Euler obstruction of essentially isolated determinantal singularities ⋮ On discriminants, Tjurina modifications and the geometry of determinantal singularities ⋮ Generic sections of essentially isolated determinantal singularities ⋮ Bouquet decomposition for Determinantal Milnor fibers ⋮ Lipschitz normal embeddings in the space of matrices ⋮ Determinacy of determinantal varieties ⋮ On the vanishing topology of isolated Cohen-Macaulay codimension 2 singularities ⋮ Local Euler obstructions and Chern–Mather classes of determinantal varieties ⋮ The bi-Lipschitz equisingularity of essentially isolated determinantal singularities ⋮ Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function ⋮ Equisingularity and EIDS ⋮ On Tjurina Transform and Resolution of Determinantal Singularities

Uses Software

• SINGULAR

Cites Work

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• Quadratic forms for a 1-form on an isolated complete intersection singularity
• Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten
• Radial index and Euler obstruction of a 1-form on a singular variety
• Milnor numbers and Euler obstruction
• Milnor Number Equals Tjurina Number for Functions on Space Curves
• Classification of simple space curve singularities
• Functions on Space Curves
• HOMOLOGICAL INDEX FOR 1-FORMS AND A MILNOR NUMBER FOR ISOLATED SINGULARITIES
• SINGULAR
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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