A note on the generic initial ideal for complete intersections

Abstract

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.

10 pages

References in corpus (3)

• Generic initial ideals of points and curves
• The strong Lefschetz property and simple extensions
• Generic initial ideal for complete intersections of embedding dimension three with strong Lefschetz property

Cited by in corpus (1)

• Contribution in combinatorics in commutative algebra.(ph-d thesis)