Counterexamples for Cohen-Macaulayness of lattice ideals Academic Article uri icon

abstract

  • Let $mathscr{L}subset mathbb{Z}^n$ be a lattice, $I$ its corresponding lattice ideal, and $J$ the toric ideal arising from the saturation of $mathscr{L}$. We produce infinitely many examples, in every codimension, of pairs $I,J$ where one of these ideals is Cohen--Macaulay but the other is not.

published proceedings

  • COMMUNICATIONS IN ALGEBRA

author list (cited authors)

  • Matusevich, L. F., & Sobieska, A.

citation count

  • 1

complete list of authors

  • Matusevich, Laura Felicia||Sobieska, Aleksandra

publication date

  • June 2019