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arXiv · 0909.0365

Generic initial ideals of some monomial complete intersections in four variables

Tadahito Harima·Sho Sakaki·Akihito Wachi
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Abstract

Let $R = K[x_1, x_2, x_3, x_4]$ be the polynomial ring over a field of characteristic zero. For the ideal $(x_1^a, x_2^b, x_3^c, x_4^d) \subset R$, where at least one of $a$, $b$, $c$ and $d$ is equal to two, we prove that its generic initial ideal with respect to the reverse lexicographic order is the almost revlex ideal corresponding to the same Hilbert function.

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Tadahito Harima, Sho Sakaki, Akihito Wachi. 2009-09-02. Generic initial ideals of some monomial complete intersections in four variables. https://arxiv.org/abs/0909.0365

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