On Spinor Varieties and Their Secants

We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type Dn, cubic equations exist if and only if n ≥ 9. In general the ideal has generators in degrees at least three and four. Finally we observe that the other Freudenthal varieties...

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Bibliographic Details
Main Author: Laurent Manivel
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.078