An Index Theorem for Modules on a Hypersurface Singularity

Details An Index Theorem for Modules on a Hypersurface Singularity An Index Theorem for Modules on a Hypersurface Singularity

2011-03-29

arxiv.org/abs/1103.5574v2

Mathematics

Algebraic Geometry

Revised according to recommendations of a thorough reviewer, references updated

Scientific paper

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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