146 citations · 156 across the 9 of their papers we have counts for
11 papers · 1 filter
Linear spaces, transversal polymatroids and ASL domains
Aldo Conca
Let be an infinite field and be the polynomial ring. Let be a collection of vector spaces of linear forms. Denote by the -subalge…
Graded rings associated with contracted ideals
Aldo Conca, Emanuela De Negri, A. V. Jayanthan +1
By definition, an $\m$-primary ideal in a 2-dimensional regular local ring $(R, \m)$ is contracted if $I=R \cap IR[\m/x]$ for some $x \in \m \setminus \m^2$. Contracted ideals…
Regularity jumps for powers of ideals
Aldo Conca
The Castelnuovo-Mumford regularity $\reg(I)$ is one of the most important invariants of a homogeneous ideal in a polynomial ring. A basic question is how the regularity behaves…
Groebner bases, initial ideals and initial algebras
Winfried Bruns, Aldo Conca
We give an introduction to the theory of initial ideals and initial algebras with emphasis on the transfer of structural properties.
Rigid resolutions and big Betti numbers
Aldo Conca, Juergen Herzog, Takayuki Hibi
In the first part of the paper we answer (positively) a question raised by the first author which has to do with some sort of rigity of the tail of resolution of an ideal. Let …
Groebner bases and determinantal ideals
W. Bruns, A Conca
We give an introduction to the theory of determinantal ideals and rings, their Groebner bases, initial ideals and algebras, respectively. The approach is based on the straightening…