A note on the generic initial ideal for complete intersections

Details A note on the generic initial ideal for complete intersections A note on the generic initial ideal for complete intersections

2007-02-12

arxiv.org/abs/math/0702283v2

Mathematics

Commutative Algebra

10 pages

Scientific paper

We prove that the $d$-component of the generic initial ideal, with respect to
the reverse lexicographic order, of an ideal generated by a regular sequence of
homogeneous polynomials of degree $d$ is revlex in a particular, but important,
case. Using this property, we compute the generic initial ideal for several
complete intersection with strong Lefschetz property.

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