Geometric structures on finite- and infinite-dimensional Grassmannians
Algebraic Geometry
2024-02-13 v3
Abstract
In this paper, we study the Grassmannian of n-dimensional subspaces of a 2n-dimensional vector space and its infinite-dimensional analogues. Such a Grassmannian can be endowed with two binary relations (adjacent and distant), with pencils (lines of the Grassmann space) and with so-called Z-reguli. We analyse the interdependencies among these different structures.
Cite
@article{arxiv.1202.0542,
title = {Geometric structures on finite- and infinite-dimensional Grassmannians},
author = {Andrea Blunck and Hans Havlicek},
journal= {arXiv preprint arXiv:1202.0542},
year = {2024}
}
Comments
Correction of two typos