Geodesic
Pieri-type intersection formulas and primary obstructions for decomposing $2$-forms
Sinan Sertöz1
1 Department of Mathematics Bilkent University TR-06533 Ankara, Turkey
Colloquium Mathematicum, Tome 87 (2001) no. 2, pp. 201-210

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the homological intersection behaviour for the Chern cells of the universal bundle of $G(d,Q_n)$, the space of $[d]$-planes in the smooth quadric $Q_n$ in ${\mathbb P}^{n+1}$ over the field of complex numbers. For this purpose we define some auxiliary cells in terms of which the intersection properties of the Chern cells can be described. This is then applied to obtain some new necessary conditions for the global decomposability of a 2-form of constant rank.
DOI : 10.4064/cm87-2-6
Keywords: study homological intersection behaviour chern cells universal bundle n space planes smooth quadric mathbb field complex numbers purpose define auxiliary cells terms which intersection properties chern cells described applied obtain necessary conditions global decomposability form constant rank

Sinan Sertöz 1

1 Department of Mathematics Bilkent University TR-06533 Ankara, Turkey 
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Sinan Sertöz. Pieri-type intersection formulas and primary
obstructions for decomposing $2$-forms. Colloquium Mathematicum, Tome 87 (2001) no. 2, pp. 201-210. doi: 10.4064/cm87-2-6

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