On the Complex Cayley Grassmannian
Algebraic Geometry
2019-03-01 v2 Differential Geometry
Representation Theory
Abstract
We define a torus action on the (complex) Cayley Grassmannian . Using this action, we prove that is a singular variety. We also show that the singular locus is smooth and has the same cohomology ring as that of . Furthermore, we identify the singular locus with a quotient of by a parabolic subgroup.
Keywords
Cite
@article{arxiv.1711.05169,
title = {On the Complex Cayley Grassmannian},
author = {Üstün Yıldırım},
journal= {arXiv preprint arXiv:1711.05169},
year = {2019}
}
Comments
22 pages, 1 figure, naming convention changed, introduction rewritten, a discussion of the singular locus is added