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Bulletin of the London Mathematical Society 2005 37(5):747-754; doi:10.1112/S0024609305004789
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© London Mathematical Society

Indices of Vector Fields or 1-Forms and Characteristic Numbers

W. Ebeling and S. M. Gusein-Zade

Universität Hannover, Institut für Mathematik Postfach 6009, D-30060 Hannover, Germany ebeling{at}math.uni-hannover.de
Moscow State University, Faculty of Mechanics and Mathematics Moscow, 119992, Russia sabir{at}mccme.ru

Received 26 March 2003. Revision received 24 November 2004.

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. 2000 Mathematics Subject Classification 32S50, 57R20, 57R25.

Partially supported by the DFG-programme ‘Global methods in complex geometry’, grants RFBR–04–01–00762, NSh–1972.2003.1 and INTAS–00–259.


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