An Index Theorem for Modules on a Hypersurface Singularity
Algebraic Geometry
2011-12-12 v2 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.1103.5574,
title = {An Index Theorem for Modules on a Hypersurface Singularity},
author = {Ragnar-Olaf Buchweitz and Duco van Straten},
journal= {arXiv preprint arXiv:1103.5574},
year = {2011}
}
Comments
Revised according to recommendations of a thorough reviewer, references updated