On spinor varieties and their secants
Algebraic Geometry
2009-07-24 v2 Representation Theory
Abstract
We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type , cubic equations exist if and only if . In general the ideal has generators in degrees at least three and four. Finally we observe that the other Freudenthal varieties exhibit strikingly similar behaviors.
Cite
@article{arxiv.0904.0565,
title = {On spinor varieties and their secants},
author = {Laurent Manivel},
journal= {arXiv preprint arXiv:0904.0565},
year = {2009}
}