Geodesic
A triple intersection theorem for the varieties SO(n)/Pd
Sinan Sertöz1
1 Department of Mathematics Bí̇lkent University 06533 Ankara, Turkey
Fundamenta Mathematicae, Tome 142 (1993) no. 3, pp. 201-220 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the Schubert calculus on the space of d-dimensional linear subspaces of a smooth n-dimensional quadric lying in the projective space. Following Hodge and Pedoe we develop the intersection theory of this space in a purely combinatorial manner. We prove in particular that if a triple intersection of Schubert cells on this space is nonempty then a certain combinatorial relation holds among the Schubert symbols involved, similar to the classical one. We also show when these necessary conditions are also sufficient to obtain a nontrivial intersection. Several examples are calculated to illustrate the main results.
DOI : 10.4064/fm-142-3-201-220

Sinan Sertöz 1

1 Department of Mathematics Bí̇lkent University 06533 Ankara, Turkey 
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Sinan Sertöz. A triple intersection theorem for the varieties SO(n)/Pd. Fundamenta Mathematicae, Tome 142 (1993) no. 3, pp. 201-220. doi: 10.4064/fm-142-3-201-220

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