Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

On the semicontinuity of the mod 2 spectrum of hypersurface singularities


Authors: Maciej Borodzik, András Némethi and Andrew Ranicki
Journal: J. Algebraic Geom. 24 (2015), 379-398
DOI: https://doi.org/10.1090/S1056-3911-2015-00640-3
Published electronically: January 8, 2015
MathSciNet review: 3311588
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Abstract: We use purely topological methods to prove the semicontinuity of the $ \mod 2$ spectrum of local isolated hypersurface singularities in $ \mathbb{C}^{n+1}$, using Seifert forms of high-dimensional non-spherical links, the Levine-Tristram signatures and the generalized Murasugi-Kawauchi inequality.


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Maciej Borodzik
Affiliation: Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
Email: mcboro@mimuw.edu.pl

András Némethi
Affiliation: A. Rényi Institute of Mathematics, Reáltanoda u. 13-15, 1053 Budapest, Hungary
Email: nemethi.andras@renyi.mta.hu

Andrew Ranicki
Affiliation: School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, Scotland, United Kingdom
Email: a.ranicki@ed.ac.uk

DOI: https://doi.org/10.1090/S1056-3911-2015-00640-3
Received by editor(s): October 5, 2012
Published electronically: January 8, 2015
Article copyright: © Copyright 2015 University Press, Inc.
The copyright for this article reverts to public domain 28 years after publication.

American Mathematical Society