On spinor varieties and their secants
classification
🧮 math.AG
math.RT
keywords
equationsfourspinorthreevarietiesvarietybehaviorscubic
read the original abstract
We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type $D_n$, cubic equations exist if and only if $n\ge 9$. 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.
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