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- Istituto Nazionale di Fisica Nucleare, Sezione di GenovaIT7 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT3 papers
- Arcetri Astrophysical ObservatoryIT2 papers
- Institute of PhysicsPL2 papers
- Polish Academy of SciencesPL2 papers
- Scuola Normale SuperioreIT2 papers
- University of Silesia in KatowicePL2 papers
- Cornell UniversityUS1 paper
- Institute of MathematicsPL1 paper
- Institute of Theoretical and Applied InformaticsPL1 paper
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT1 paper
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT1 paper
11 papers · 1 filter
The Gotzmann Coefficients of Hilbert Functions
Jeaman Ahn, Anthony V. Geramita, Yong Su Shin
In this paper we investigate some algebraic and geometric consequences which arise from an extremal bound on the Hilbert function of the general hyperplane section of a variety (Gr…
A non-unimodal codimension 3 level -vector
Fabrizio Zanello
is a level -vector! This example answers negatively the open question as to whether all codimension 3 level -vectors are unimodal. Moreover, us…
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…
When is there a unique socle-vector associated to a given -vector?
Fabrizio Zanello
First, we construct a bijection between the set of -vectors and the set of socle-vectors of artinian algebras. As a corollary, we find the minimum codimension that an artinian a…
Level algebras of type 2
Fabrizio Zanello
In this paper we study standard graded artinian level algebras, in particular those whose socle-vector has type 2. Our main results are: the characterization of the level -vecto…
Generic initial ideals and distractions
A. M. Bigatti, A. Conca, L. Robbiano
The generic initial ideals of a given ideal are rather recent invariants. Not much is known about these objects, and it turns out to be very difficult to compute them. The main pur…