29 citations
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11 papers · 1 filter
On the componentwise linearity and the minimal free resolution of a tetrahedral curve
Christopher A. Francisco, Juan C. Migliore, Uwe Nagel
A tetrahedral curve is an unmixed, usually non-reduced, one-dimensional subscheme of projective 3-space whose homogeneous ideal is the intersection of powers of the ideals of the s…
The Multiplicity Conjecture in low codimensions
Juan C. Migliore, Uwe Nagel, Tim Römer
We establish the multiplicity conjecture of Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay algebras over a field, for codimension two algebras and f…
Liaison classes of modules
Uwe Nagel
We propose a concept of module liaison that extends Gorenstein liaison of ideals and provides an equivalence relation among unmixed modules over a commutative Gorenstein ring. Anal…
Minimal Resolution of Relatively Compressed Level Algebras
Juan C. Migliore, Rosa Miró-Roig, Uwe Nagel
A relatively compressed algebra with given socle degrees is an Artinian quotient of a given graded algebra $R/\fc$, whose Hilbert function is maximal among such quotients with…
Comparing Castelnuovo-Mumford regularity and extended degree: the borderline cases
Uwe Nagel
Castelnuovo-Mumford regularity and any extended degree function can be thought of as complexity measures for the structure of finitely generated graded modules. A recent result of…
Multiplicity of the special fiber of blowups
Alberto Corso, Claudia Polini, Wolmer V. Vasconcelos
Let be a Noetherian local ring and let be an -primary ideal. In this paper we give sharp bounds on the multiplicity of the special fiber rin…