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Degeneracy of 2-Forms and 3-Forms |
Canad. Math. Bull. 48(2005), 547-560
Published:2005-12-01
Printed: Dec 2005
Printed: Dec 2005
- L. M. Fehér
- A. Némethi
- R. Rimányi
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 |
| MSC Classifications: |
14N10 - Enumerative problems (combinatorial problems) 57R45 - Singularities of differentiable mappings |