13 citations · 50 across the 30 of their papers we have counts for
5 papers · 2 filters
Betti numbers of monomial ideals and shifted skew shapes
Uwe Nagel, Victor Reiner
We present two new problems on lower bounds for resolution Betti numbers of monomial ideals generated in a fixed degree. The first concerns any such ideal and bounds the total Bett…
Minimal Homogenous Liaison and Licci Ideals
Craig Huneke, Juan Migliore, Uwe Nagel +1
We study the linkage classes of homogeneous ideals in polynomial rings. An ideal is said to be homogeneously licci if it can be linked to a complete intersection using only homogen…
Glicci simplicial complexes
Uwe Nagel, Tim Roemer
One of the main open questions in liaison theory is whether every homogeneous Cohen-Macaulay ideal in a polynomial ring is glicci, i.e. if it is in the G-liaison class of a complet…
Specializations of Ferrers ideals
Alberto Corso, Uwe Nagel
We introduce a specialization technique in order to study monomial ideals that are generated in degree two by using our earlier results about Ferrers ideals. It allows us to descri…
A characterization of Gorenstein Hilbert functions in codimension four with small initial degree
Juan C. Migliore, Uwe Nagel, Fabrizio Zanello
The main goal of this paper is to characterize the Hilbert functions of all (artinian) codimension 4 Gorenstein algebras that have at least two independent relations of degree four…