2024-03-29T13:46:41Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690512022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116On the index of a holomorphic vector field tangent to a singular varietyLehmann, D.Soares, M.Suwa, T.open access410In this article we define and compute an index for a holomorphic vector field on a (possibly singular) subvariety of a complex manifold, provided the subvariety is a local complete intersection. This index reduces to the usual Poincare-Hopf index in case the subvariety is smooth, and is equal more generally to the index defined in [GSV] and [SS].Department of Mathematics, Hokkaido University1995-07-01engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83447http://hdl.handle.net/2115/6905110.14943/83447Hokkaido University Preprint Series in Mathematics300114https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69051/1/pre300.pdfapplication/pdf747.4 KB1995-07-01