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arxiv: 2008.03166 · v1 · pith:I5HTKADKnew · submitted 2020-08-07 · 🧮 math.AG · math.AC

Minimal Set of Generators of Ideals Defining Nilpotent Orbit Closures

classification 🧮 math.AG math.AC
keywords closuresdefininggeneratorsidealsminimalnilpotentanswercharacteristic
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Over a field of characteristic $0$, we construct a minimal set of generators of the defining ideals of closures of nilpotent conjugacy class in the set of $n \times n$ matrices. This modifies a conjecture of Weyman and provides a complete answer to it.

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