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Moscow Mathematical Journal, 2012, Volume 12, Number 2, Pages 237–259
DOI: https://doi.org/10.17323/1609-4514-2012-12-2-237-259 (Mi mmj464) 		 
This article is cited in 15 scientific papers (total in 15 papers)

An Index Theorem for Modules on a Hypersurface Singularity

Ragnar-Olaf Buchweitza, Duco van Stratenb

a Dept. of Computer and Mathematical Sciences, University of Toronto at Scarborough, 1265 Military Trail, Toronto, ON M1C 1A4, Canada
b Fachbereich 17, AG Algebraische Geometrie, Johannes Gutenberg-Universität, D-55099 Mainz, Germany
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DOI: https://doi.org/10.17323/1609-4514-2012-12-2-237-259
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.
Key words and phrases: Matrix factorisation, hypersurface singularity, maximal Cohen–Macaulay module, intersection form, linking number, K-Theory.
Received: March 10, 2011
Bibliographic databases:
Document Type: Article
MSC: 32S25, 32S55, 14C17, 19D10, 19L10, 57R99
Language: English
Citation: Ragnar-Olaf Buchweitz, Duco van Straten, “An Index Theorem for Modules on a Hypersurface Singularity”, Mosc. Math. J., 12:2 (2012), 237–259
Citation in format AMSBIB
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\by Ragnar-Olaf~Buchweitz, Duco~van Straten
\paper An Index Theorem for Modules on a Hypersurface Singularity
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 2
\pages 237--259
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\crossref{https://doi.org/10.17323/1609-4514-2012-12-2-237-259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2978754}
\zmath{https://zbmath.org/?q=an:06126171}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000309365900002}
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    • This publication is cited in the following 15 articles:
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