English

Strongly stable ideals and Hilbert polynomials

Symbolic Computation 2019-10-16 v2 Mathematical Software Commutative Algebra Algebraic Geometry Combinatorics

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.

Cite

@article{arxiv.1406.6924,
  title  = {Strongly stable ideals and Hilbert polynomials},
  author = {Davide Alberelli and Paolo Lella},
  journal= {arXiv preprint arXiv:1406.6924},
  year   = {2019}
}

Comments

Source code available as an ancillary file. Final version

R2 v1 2026-06-22T04:48:08.682Z