Permanental Ideals
R. Laubenbacher, I. Swanson
Abstract
The principal result is a primary decomposition of ideals generated by the (2x2)-subpermanents of a generic matrix. These permanental ideals almost always have embedded components and their minimal primes are of three distinct heights. Thus the permanental ideals are almost never Cohen-Macaulay, in contrast with determinantal ideals.
Create a lesson
Related papers
Counterexamples to Minkowski-type inequalities and the Rees converse for modules via mixed Buchsbaum-Rim Multiplicities
V. H. Jorge Perez
A complex associated to a family of ideals and applications to subspace arrangements
Aldo Conca, Manolis C. Tsakiris
On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
Anderson Porto, Marcelo Veloso
Hook algebras and determinantal varieties
Steven V Sam, Keller VandeBogert, Jerzy Weyman
Polycubes and polycube ideals
Ayesha Asloob Qureshi, Dharm Veer
Derived functors and Hilbert polynomials over dominant Cohen-Macaulay rings
Tony J. Puthenpurakal