100 citations · 291 across the 51 of their papers we have counts for
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Normaliz: Algorithms for Affine Monoids and Rational Cones
Winfried Bruns, Bogdan Ichim
Normaliz is a program for solving linear systems of inequalities. In this paper we present the algorithms implemented in the program, starting with version 2.0.
Stanley decompositions and Hilbert depth in the Koszul complex
Winfried Bruns, Christian Krattenthaler, Jan Uliczka
Stanley decompositions of multigraded modules over polynomials rings have been discussed intensively in recent years. There is a natural notion of depth that goes with a Stanle…
A Macaulay 2 interface for Normaliz
Winfried Bruns, Gesa Kaempf
Normaliz is a tool for the computation of Hilbert bases of normal affine monoids and related tasks. We describe the Macaulay 2 interface to Normaliz. It makes Normaliz accessible f…
Koszul homology and syzygies of Veronese subalgebras
Winfried Bruns, Aldo Conca, Tim Roemer
A graded K-algebra R has property N_p if it is generated in degree 1, has relations in degree 2 and the syzygies of order less or equal to p on the relations are linear. The Green-…