On the Index of Vector Fields Tangent to Hypersurfaces with Non-Isolated Singularities |
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Authors: | Giraldo L; Gomez-Mont X; Mardesic P |
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Institution: | Departamento de Algebra, Facultad de Matemáticas, Universidad Complutense de Madrid Ciudad Universitaria, 28040 Madrid, Spain, giraldo{at}mat.ucm.es
CIMAT AP 402, Guanajuato 36000, Mexico, gmont{at}fractal.cimat.mx
Laboratoire de Topologie, Université de Bourgogne UMR 5584 du CNRS, BP 44870, 21078-Dijon Cedex, France, mardesic{at}u-bourgogne.fr |
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Abstract: | Let F be a germ of a holomorphic function at 0 in Cn+1, having0 as a critical point not necessarily isolated, and let be a germ of a holomorphic vectorfield at 0 in Cn+1 with an isolated zero at 0, and tangent toV := F1(0). Consider the OV,0-complex obtained by contractingthe germs of Kähler differential forms of V at 0
(0.1) with the vector field X:= |Von V:
(0.2) |
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Keywords: | |
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