3 papers
math.AC2018
Depth and regularity of monomial ideals via polarization and combinatorial optimization
Jose Martínez-Bernal, Susan Morey, Rafael H. Villarreal +1
In this paper we use polarization to study the behavior of the depth and regularity of a monomial ideal , locally at a variable , when we lower the degree of all the highes…
math.AC2017
Generalized minimum distance functions
Manuel Gonzalez-Sarabia, Jose Martínez-Bernal, Rafael H. Villarreal +1
Using commutative algebra methods we study the generalized minimum distance function (gmd function) and the corresponding generalized footprint function of a graded ideal in a poly…
math.AC2017
Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs
Philippe Gimenez, Jose Martínez-Bernal, Aron Simis +2
In this paper we study irreducible representations and symbolic Rees algebras of monomial ideals. Then we examine edge ideals associated to vertex-weighted oriented graphs. These a…