Geodesic
Degeneracy of 2-Forms and 3-Forms
Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 547-560

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DOI

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 ${{\Lambda }^{k}}{{\mathbb{C}}^{n}}$
DOI : 10.4153/CMB-2005-050-9
Mots-clés : 14N10, 57R45, Classes of degeneracy loci, 2-forms, 3-forms, Thom polynomials, global singularity Theory 
Fehér, L. M.; Némethi, A.; Rimányi, R. Degeneracy of 2-Forms and 3-Forms. Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 547-560. doi: 10.4153/CMB-2005-050-9
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     title = {Degeneracy of {2-Forms} and {3-Forms}},
     journal = {Canadian mathematical bulletin},
     pages = {547--560},
     year = {2005},
     volume = {48},
     number = {4},
     doi = {10.4153/CMB-2005-050-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-050-9/}
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