CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Degeneracy of 2-Forms and 3-Forms

  Published:2005-12-01
 Printed: Dec 2005
  • L. M. Fehér
  • A. Némethi
  • R. Rimányi
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We study some global aspects of differential complex 2-forms and 3-forms on complex manifolds. We compute the cohomology classes represented by the sets of points on a manifold where such a form degenerates in various senses, together with other similar cohomological obstructions. Based on these results and a formula for projective representations, we calculate the degree of the projectivization of certain orbits of the representation $\Lambda^k\C^n$.
Keywords: Classes of degeneracy loci, 2-forms, 3-forms, Thom polynomials, global singularity theory Classes of degeneracy loci, 2-forms, 3-forms, Thom polynomials, global singularity theory
MSC Classifications: 14N10, 57R45 show english descriptions Enumerative problems (combinatorial problems)
Singularities of differentiable mappings
14N10 - Enumerative problems (combinatorial problems)
57R45 - Singularities of differentiable mappings
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/