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An Index Theorem for Modules on a Hypersurface Singularity

Ragnar-Olaf Buchweitz, Duco van Straten

Number 25
Author Duco van Straten
Year 2011

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.

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