58 citations · 399 across the 82 of their papers we have counts for
7 papers · 1 filter
The equations of space curves on a quadric
Roberta Di Gennaro, Uwe Nagel
The homogenous ideals of curves in a double plane have been studied by Chiarli, Greco, Nagel. Completing this work we describe the equations of any curve that is contained in some…
Families of space curves with large cohomology
Nadia Chiarli, Silvio Greco, Uwe Nagel
We investigate space curves with large cohomology. To this end we introduce curves of subextremal type. This class includes all subextremal curves. Based on geometric and numerical…
Empty simplices of polytopes and graded Betti numbers
Uwe Nagel
The conjecture of Kalai, Kleinschmidt, and Lee on the number of empty simplices of a simplicial polytope is established by relating it to the first graded Betti numbers of the poly…
Algebraic shifting and exterior and symmetric algebra methods
Uwe Nagel, Tim Roemer, Natale Paolo Vinai
We establish results about algebraic shifting of simplicial complexes and use them to compare different shifting operations. In particular, we show that each shifting operation doe…
Minimal free resolutions of projective subschemes of small degree
Uwe Nagel
We discuss the minimal free resolution of an irreducible projective subscheme X. If X is also reduced, we focus on the case when its degree equals two plus the codimension. The set…
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…