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Conjecture on minimal generators of the annihilator of the complete symmetric form
Minimal-generator conjecture. If $d$ is odd, then $\operatorname{Ann}(H_{2d+1})$ has no minimal generators in degree $d+2$ , and
openannihilator-ideals commutative-algebra gorenstein-algebras
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Conjecture on minimal generators of the annihilator of the complete symmetric form