dc.identifier.uri |
http://dx.doi.org/10.15488/2701 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2727 |
|
dc.contributor.author |
Klehn, Oliver
|
|
dc.date.accessioned |
2018-01-29T14:34:06Z |
|
dc.date.available |
2018-01-29T14:34:06Z |
|
dc.date.issued |
2005 |
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dc.identifier.citation |
Klehn, O.: Real and complex indices of vector fields on complete intersection curves with isolated singularity. In: Compositio Mathematica 141 (2005), Nr. 2, S. 525-540. DOI: https://doi.org/10.1112/S0010437X04000958 |
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dc.description.abstract |
If (V, 0) is an isolated complete intersection singularity and X a holomorphic vector field tangent to V, one can define an index of X, the so-called GSV index, which generalizes the Poincaré-Hopf index. We prove that the GSV index coincides with the dimension of a certain explicitly constructed vector space, if X is deformable in a certain sense and V is a curve. We also give a sufficient algebraic criterion for X to be deformable in this way. If one considers the real analytic case one can also define an index of X which is called the real GSV index. Under the condition that X has the deformation property, we prove a signature formula for the index generalizing the Eisenbud-Levine Theorem. © Foundation Compositio Mathematica 2005. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Cambridge : Cambridge University Press |
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dc.relation.ispartofseries |
Compositio Mathematica 141 (2005), Nr. 2 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
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dc.subject |
Index |
eng |
dc.subject |
Isolated singularity |
eng |
dc.subject |
Local residue |
eng |
dc.subject |
Signature |
eng |
dc.subject |
Socle |
eng |
dc.subject |
Vector field |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Real and complex indices of vector fields on complete intersection curves with isolated singularity |
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dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
0010-437X |
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dc.relation.doi |
https://doi.org/10.1112/S0010437X04000958 |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
141 |
|
dc.bibliographicCitation.firstPage |
525 |
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dc.bibliographicCitation.lastPage |
540 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|