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Notes on a minimal set of generators for the radical ideal defining the diagonal locus of $(\C^2)^n$

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arxiv 0901.1176 v3 pith:YJUFVOWW submitted 2009-01-09 math.CO math.AC

classification math.COmath.AC
keywords definingdiagonalgeneratorsideallocusradicaltechniquesbi-degrees
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abstract

We develop several techniques for the study of the radical ideal $I$ defining the diagonal locus of $(\C^2)^n$. Using these techniques, we give combinatorial construction of generators for $I$ of certain bi-degrees.

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  1. Algebraic versus physical uniqueness of MHV gravity numerators

    hep-th 2026-08 conditional novelty 7.0 of 10 partial

    Pair-zero and degree conditions admit extra six-dimensional hook solutions at seven points and a two-dimensional plane at eight; Bose symmetry and one normalized physical boundary condition single out the Hodges numerator.

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