For l = binom(k+2,3), the tangent space of Hilb^l(A^3) is maximized uniquely at the monomial ideal m_k, proving the 3D Briancon-Iarrobino Conjecture.
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A proof of the Brian\c{c}on-Iarrobino Conjecture in three dimensions
For l = binom(k+2,3), the tangent space of Hilb^l(A^3) is maximized uniquely at the monomial ideal m_k, proving the 3D Briancon-Iarrobino Conjecture.