58 citations · 399 across the 82 of their papers we have counts for
5 papers · 1 filter
Liaison addition and the structure of a Gorenstein liaison class
Robin Hartshorne, Juan Migliore, Uwe Nagel
We study the concept of liaison addition for codimension two subschemes of an arithmetically Gorenstein projective scheme. We show how it relates to liaison and biliaison classes o…
Monomial and toric ideals associated to Ferrers graphs
Alberto Corso, Uwe Nagel
Each partition determines a so-called Ferrers tableau or, equivalently, a Ferrers bipartite graph. Its edge ideal, dubbed Ferrers ideal, is a squarefree m…
On the degree two entry of a Gorenstein -vector and a conjecture of Stanley
Juan C. Migliore, Uwe Nagel, Fabrizio Zanello
In this note we establish a (non-trivial) lower bound on the degree two entry of a Gorenstein -vector of any given socle degree and any codimension . In particular,…
Bounds for the Castelnuovo-Mumford regularity of modules
Marc Chardin, Amadou Lamine Fall, Uwe Nagel
We establish bounds for the Castelnuovo-Mumford regularity of a finitely generated graded module and its symmetric powers in terms of the degrees of the generators of the module an…
An improved Multiplicity Conjecture for codimension three Gorenstein algebras
Juan C. Migliore, Uwe Nagel, Fabrizio Zanello
The Multiplicity Conjecture is a deep problem relating the multiplicity (or degree) of a Cohen-Macaulay standard graded algebra with certain extremal graded Betti numbers in its mi…