Generic initial ideals of some monomial complete intersections in four variables

Details Generic initial ideals of some monomial complete intersections in four variables Generic initial ideals of some monomial complete intersections in four variables

2009-09-02

arxiv.org/abs/0909.0365v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

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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