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On Some Generalization of Schubert's Varieties
Yuriy A. Drozd, Pavlo S. Kolomiets
79 - 89
NATO Science Series, III: Computer and Systems Sciences
Volume 196: Computational Commutative and Non-Commutative Algebraic Geometry
Abstract

One generalization of Shubert's varieties is presented based on use of two towers of “general”(very natural) form with no subspace from one of the towers belonging totally to some subspace from another tower. These varieties are proved to be reducible, their general positions are described. The number of general positions and dimensions of corresponding orbits are calculated also.

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