38 citations · 272 across the 43 of their papers we have counts for
4 papers · 1 filter
Regularity of S_n-invariant monomial ideals
Claudiu Raicu
For a polynomial ring S in n variables, we consider the natural action of the symmetric group S_n on S by permuting the variables. For an S_n-invariant monomial ideal I in S and j…
Feasibility criteria for high-multiplicity partitioning problems
Claudiu Raicu
For fixed weights w_1,...,w_n, and for d>0, we let B denote a collection of d*n balls, with d balls of weight w_i for each i=1,...,n. We consider the problem of assigning the balls…
Relations between the 2x2 minors of a generic matrix
Hang Huang, Michael Perlman, Claudia Polini +2
We prove the case t = 2 of a conjecture of Bruns-Conca-Varbaro, describing the minimal relations between the t x t minors of a generic matrix. Interpreting these relations as polyn…
Bi-graded Koszul modules, K3 carpets, and Green's conjecture
Claudiu Raicu, Steven V Sam
We extend the theory of Koszul modules to the bi-graded case, and prove a vanishing theorem that allows us to show that the Canonical Ribbon Conjecture of Bayer and Eisenbud holds…