On the semicontinuity of the mod 2 spectrum of hypersurface singularities

2012/10/02 by Maciej Borodzik, András Némethi, Borodzik, Maciej +3
Mathematics · #14D07 #32S30 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT #msc:14D07 #msc:32S30 #msc:57Q25 #msc:57Q60 #primary: 57Q25 secondary: 57Q60

paper · pdf · doi:10.48550/arxiv.1210.0798

13 pages, updated references to BNR2

arxiv created 2012/11/27 · arxiv updated 2012/11/28

Abstract

We use purely topological methods to prove the semicontinuity of the mod 2 spectrum of local isolated hypersurface singularities in ℂⁿ⁺¹, using Seifert forms of high-dimensional non-spherical links, the Levine--Tristram signatures and the generalized Murasugi--Kawauchi inequality obtained in earlier work for cobordisms of links.

Related

• The Hodge spectrum of analytic germs on isolated surface singularities
• The Spectrum of Hypersurface Singularities
• Continuous Invariants of Isolated Hypersurface Singularities
• Tjurina Number Jumps and Unimodal Hypersurface Singularities in Positive Characteristic
• Real Seifert forms, Hodge numbers and Blanchfield pairings