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Title

A triple intersection theorem for the varieties SO(n)/Pd

Authors 1

Affiliations

  1. Department of Mathematics, Bilkent University, 06533 Ankara, Turkey

Abstract

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.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm142/fm14231.pdf

Fundamenta Mathematicae
1993/142/3
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Pages:
201-220
Main language of publication
English
Received
1991-11-07
Accepted
1992-04-07
Published
1993
Exact and natural sciences