2 problems

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Regularity conjecture for monomial geometric subsets
Let $(A_1,\ldots,A_s)$ be a tuple of monomial algebras, and let $\mathrm{Hilb}^{A_1,\ldots,A_s}(X)$ be the associated monomial geometric subset. Write…
Conjectureopencurvilinear-geometry geometric-subsets hilbert-schemesarXiv posted 2 days ago
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The torus-fixed-point conjecture for the punctual curvilinear component
Let $\mathrm{Hilb}^k(\mathbb{C}^n)$ be the Hilbert scheme of length- $k$ subschemes of affine $n$ -space, with its natural torus action, and let $\mathrm{CHilb}^k_0(\mathbb{C}^n)$ de…
Conjectureopencurvilinear-geometry hilbert-schemes torus-actionsarXiv posted 2 days ago

Regularity conjecture for monomial geometric subsets