Flags in zero dimensional complete intersections and indices of real vector fields

Simple item page
dc.creatorGiraldo, L.
dc.creatorGomez-Mont, X.
dc.creatorMardesic, P.
dc.date2006-12-11
dc.date2008-01-10
dc.date.accessioned2026-07-07T08:53:35Z
dc.date.available2026-07-07T08:53:35Z
dc.descriptionWe introduce bilinear forms in a flag in a complete intersection local $\mathbb R$-algebra of dimension 0, related to the Eisenbud-Levine, Khimshiashvili bilinear form. We give a variational interpretation of these forms in terms of Jantzen's filtration and bilinear forms. We use the signatures of these forms to compute in the real case the constant relating the GSV-index with the signature function of vector fields tangent to an even dimensional hypersurface singularity, one being topologically defined and the other computable by finite dimensional commutative algebra methods.
dc.description17 pages. v2: Some changes in the introduction. A few typos corrected. To appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0612275
dc.identifierhttp://arxiv.org/abs/math/0612275
dc.identifierdoi:10.1007/s00209-007-0262-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145674
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject58K45; 58K05; 13H10
dc.titleFlags in zero dimensional complete intersections and indices of real vector fields
dc.typetext

Files

Collections

arXiv