Homological index for 1-forms and a Milnor number for isolated singularities

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dc.creatorEbeling, W.
dc.creatorGusein-Zade, S. M.
dc.creatorSeade, J.
dc.date2003-07-17
dc.date.accessioned2026-07-07T04:59:44Z
dc.date.available2026-07-07T04:59:44Z
dc.descriptionWe introduce a notion of a homological index of a holomorphic 1-form on a germ of a complex analytic variety with an isolated singularity, inspired by X. Gómez-Mont and G.-M. Greuel. For isolated complete intersection singularities it coincides with the index defined earlier by two of the authors. Subtracting from this index another one, called radial, we get an invariant of the singularity which does not depend on the 1-form. For isolated complete intersection singularities this invariant coincides with the Milnor number. We compute this invariant for arbitrary curve singularities and compare it with the Milnor number introduced by R.-O. Buchweitz and G.-M. Greuel for such singularities.
dc.identifierhttps://arxiv.org/abs/math/0307239
dc.identifierhttp://arxiv.org/abs/math/0307239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68103
dc.subjectAlgebraic Geometry
dc.subject14B05; 13N05; 32S10
dc.titleHomological index for 1-forms and a Milnor number for isolated singularities
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