Strongly stable ideals and Hilbert polynomials

Abstract

The \texttt{StronglyStableIdeals} package for \textit{Macaulay2} provides a method to compute all saturated strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial. A description of the main method and auxiliary tools is given.

Source code available as an ancillary file. Final version

References in corpus (3)

• Flat families by strongly stable ideals and a generalization of Groebner bases
• Macaulay-like marked bases
• Double-Generic Initial Ideal and Hilbert Scheme

Cited by in corpus (2)

• On the tangent space to the Hilbert scheme of points in P3
• Syzygies in Hilbert schemes of complete intersections