4 citations · 6 across the 9 of their papers we have counts for
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Extensions of the Multiplicity Conjecture
Juan Migliore, Uwe Nagel, Tim Roemer
The Multiplicity conjecture of Herzog, Huneke, and Srinivasan states an upper bound for the multiplicity of any graded -algebra as well as a lower bound for Cohen-Macaulay algeb…
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…
Tetrahedral Curves
Juan C. Migliore, Uwe Nagel
A tetrahedral curve is a space curve whose defining ideal is an intersection of powers of monomial prime ideals of height two. It is supported on a tetrahedral configuration of lin…
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…