Doubly indexed flag variety and fixed point set of a partial flag variety

Details Doubly indexed flag variety and fixed point set of a partial flag variety Doubly indexed flag variety and fixed point set of a partial flag variety

2010-04-27

arxiv.org/abs/1004.4888v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

We define a variety of doubly indexed flags, this is a smooth, projective variety, and we describe it as an iterated over Grassmannian varieties. On the other hand, we consider the variety of partial flags which are stabilized by a given nilpotent endomorphism. We partition this variety into locally closed subvarieties which are vector bundles over varieties of the aforedmentioned type.

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