100 citations · 291 across the 51 of their papers we have counts for
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On the Coefficients of Hilbert Quasipolynomials
Winfried Bruns, Bogdan Ichim
The Hilbert function of a module over a positively graded algebra is of quasi-polynomial type (Hilbert--Serre). We derive an upper bound for its grade, i.e. the index from which on…
h-vectors of Gorenstein polytopes
Winfried Bruns, Tim Roemer
We show that the Ehrhart h-vector of an integer Gorenstein polytope with a regular unimodular triangulation satisfies McMullen's g-theorem; in particular, it is unimodal. This resu…
On seminormal monoid rings
Winfried Bruns, Ping Li, Tim Roemer
Given a seminormal affine monoid M we consider several monoid properties of M and their connections to ring properties of the associated affine monoid ring K[M] over a field K. We…
Cohomology of partially ordered sets and local cohomology of section rings
Morten Brun, Winfried Bruns, Tim Roemer
We study local cohomology of rings of global sections of sheafs on the Alexandrov space of a partially ordered set. We give a criterion for a splitting of the local cohomology grou…