58 citations · 399 across the 82 of their papers we have counts for
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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…
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…