On indices of 1-forms on determinantal singularities

By Sabir M. Gusein-Zade, W. Ebeling. 2008

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We consider 1-forms on so-called essentially isolated determinantal singularities (a natural generalization of isolated singularities), show how to define analogs of the Poincaré-Hopf index for them, and describe relations between these indices and the radial index. For isolated determinantal singularities, we discuss properties of the homological index of a holomorphic 1-form and its relation to the Poincaré-Hopf index.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c7453516b82dbda6865147d2a3c2f8f7dbbfd906

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Citations in the corpus

• The vanishing Euler characteristic of an isolated determinantal singularity (2013, background): “We find recent papers dedicated to the study of invariants related to the Milnor number of an IDS, see [5, 8, 7, 26].”