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indices of vector fields or 1-forms and characteristic numbers

Published online by Cambridge University Press:  23 September 2005

w. ebeling  and
s. m. gusein-zade
w. ebeling
Affiliation:
universität hannover, institut für mathematik, postfach 6009, d-30060 hannover, germanyebeling@math.uni-hannover.de
s. m. gusein-zade
Affiliation:
moscow state university, faculty of mechanics and mathematics, moscow, 119992, russiasabir@mccme.ru
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Abstract

an index of a collection of 1-forms on a complex isolated complete intersection singularity corresponding to a chern number is defined and – in the case when the 1-forms are complex analytic – expressed as the dimension of a certain algebra.

Keywords

32s5057r2057r25
Type
papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 5 , October 2005 , pp. 747 - 754
Copyright
the london mathematical society 2005

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Footnotes

partially supported by the dfg-programme ‘global methods in complex geometry’, grants rfbr–04–01–00762, nsh–1972.2003.1 and intas–00–259.