Degeneracy of two and three forms (original) (raw)

2005

Abstract

Abstract. We study some global aspects of differential complex 2-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 ΛkCn.

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