2024-03-29T13:27:58Zhttps://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.410In 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 UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69051info:doi/10.14943/83447https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69051/1/pre300.pdfHokkaido University Preprint Series in Mathematics3001141995-07-01engpublisher