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4 papers · 1 filter
The Dirichlet Problem for Elliptic Systems on Lipschitz Domains
Zhongwei Shen
We develop a new approach to the Dirichlet problem via estimates and reverse Holder inequalities. We apply this approach to second order elliptic systems and the polyha…
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…