390 research outputs found
Permanental Ideals
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.Comment: 13 page
Generic Cohen-Macaulay monomial ideals
Given a simplicial complex, it is easy to construct a generic deformation of
its Stanley-Reisner ideal. The main question under investigation in this paper
is how to characterize the simplicial complexes such that their Stanley-Reisner
ideals have Cohen-Macaulay generic deformations. Algorithms are presented to
construct such deformations for matroid complexes, shifted complexes, and tree
complexes.Comment: 18 pages, 8 figure
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