Doubly indexed flag variety and fixed point set of a partial flag variety
Algebraic Geometry
2015-03-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1004.4888,
title = {Doubly indexed flag variety and fixed point set of a partial flag variety},
author = {Lucas Fresse},
journal= {arXiv preprint arXiv:1004.4888},
year = {2015}
}
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8 pages