19 citations · 69 across the 16 of their papers we have counts for
8 papers · 1 filter
Which series are Hilbert series of graded modules over polynomial rings?
Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka
Let be a multigraded polynomial ring such that the degree of each variable is a unit vector; so is the homogeneous coordinate ring of a product of projective spaces. In thi…
How to compute the Stanley depth of a module
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
In this paper we introduce an algorithm for computing the Stanley depth of a finitely generated multigraded module over the polynomial ring . As a…
Lcm-lattices and Stanley depth: a first computational approach
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
Let be a field, and let be the polynomial ring. Let be a monomial ideal of with up to 5 generators. In this paper, we present a c…
Stanley depth and the lcm-lattice
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
In this paper we show that the Stanley depth, as well as the usual depth, are essentially determined by the lcm-lattice. More precisely, we show that for quotients of monomia…
The behavior of Stanley depth under polarization
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
Let be a field, be the polynomial ring and two monomial ideals in . In this paper we show that $\mathrm{sdepth}\ {I/J} - \mathrm{depth}…
How to compute the multigraded Hilbert depth of a module
Bogdan Ichim, Julio José Moyano-Fernández
The aim of this paper is to introduce a method for computing Hilbert decompositions (and consequently the Hilbert depth) of a finitely generated multigraded module over the pol…
A note on the computation of the Frobenius number of a numerical semigroup
Julio José Moyano-Fernández
In this note we observe that the Frobenius number and therefore the conductor of a numerical semigroup can be obtained from the maximal socle degree of the quotient of the correspo…
Curvettes and clusters of infinitely near points
J. J. Moyano-Fernández
The aim of this paper is to revise the theory of clusters of infinitely near points for arbitrary fields. We describe in particular the intersection matrix of such a cluster, we in…