Briançon–Iarrobino conjecture on maximal tangent spaces of punctual Hilbert schemes
Let N≥1N\geq 1N≥1 and let m=(x1,…,xN)⊂C[x1,…,xN]\mathfrak{m}=(x_1,\ldots,x_N)\subset\mathbb{C}[x_1,\ldots,x_N]m=(x1,…,xN)⊂C[x1,…,xN]. Briançon–Iarrobino conjecture. The ideal mk\mathfrak{m}^kmk has the maximum dimension tangent…
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