Details
| Original language | English |
|---|---|
| Pages (from-to) | 1761-1783 |
| Number of pages | 23 |
| Journal | Annales de l'Institut Fourier |
| Volume | 58 |
| Issue number | 5 |
| Publication status | Published - 2008 |
Abstract
Keywords
- Buchsbaum-eisenbud theory, Complete intersections, Complex, Double complexes, Homological index, Homology of complexes, Index, Vector field
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In: Annales de l'Institut Fourier, Vol. 58, No. 5, 2008, p. 1761-1783.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An algebraic formula for the index of a vector field on an isolated complete intersection singularity
AU - Ebeling, Wolfgang
AU - Gómez-Mont, Xavier
AU - Bothmer, Hans Christian Graf v.
PY - 2008
Y1 - 2008
N2 - Let (V, 0) be a germ of a complete intersection variety in Cn+k, n > 0, having an isolated singularity at 0 and X be the germ of a holomorphic vector field having an isolated zero at 0 and tangent to V. We show that in this case the homological index and the GSV-index coincide. In the case when the zero of X is also isolated in the ambient space ℂn+K we give a formula for the homological index in terms of local linear algebra.
AB - Let (V, 0) be a germ of a complete intersection variety in Cn+k, n > 0, having an isolated singularity at 0 and X be the germ of a holomorphic vector field having an isolated zero at 0 and tangent to V. We show that in this case the homological index and the GSV-index coincide. In the case when the zero of X is also isolated in the ambient space ℂn+K we give a formula for the homological index in terms of local linear algebra.
KW - Buchsbaum-eisenbud theory
KW - Complete intersections
KW - Complex
KW - Double complexes
KW - Homological index
KW - Homology of complexes
KW - Index
KW - Vector field
UR - http://www.scopus.com/inward/record.url?scp=50849091920&partnerID=8YFLogxK
UR - https://arxiv.org/abs/math/0601640
U2 - 10.5802/aif.2398
DO - 10.5802/aif.2398
M3 - Article
AN - SCOPUS:50849091920
VL - 58
SP - 1761
EP - 1783
JO - Annales de l'Institut Fourier
JF - Annales de l'Institut Fourier
SN - 0373-0956
IS - 5
ER -