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arXiv:1103.5574 [math.AG]AbstractReferencesReviewsResources

An Index Theorem for Modules on a Hypersurface Singularity

Ragnar-Olaf Buchweitz, Duco van Straten

Published 2011-03-29, updated 2011-12-09Version 2

A topological interpretation of Hochster's Theta pairing of two modules on a hypersurface ring is given in terms of linking numbers. This generalizes results of M. Hochster and proves a conjecture of J. Steenbrink. As a corollary we get that the Theta pairing vanishes for isolated hypersurface singularities in an odd number of variables, as was conjectured by H. Dao.

Comments: Revised according to recommendations of a thorough reviewer, references updated
Categories: math.AG, math.AC
Subjects: 14B05, 13C14, 19M05
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