Zobrazeno 1 - 10
of 265
pro vyhledávání: '"BRUNS, WINFRIED"'
Autor:
Bruns, Winfried, Hibi, Takayuki
The maximal degree of monomials belonging to the unique minimal system of monomial generators of the canonical module $\omega(K[{\mathcal P}])$ of the toric ring $K[{\mathcal P}]$ defined by a lattice polytope ${\mathcal P}$ will be studied. It is sh
Externí odkaz:
http://arxiv.org/abs/2311.11042
Autor:
Bruns, Winfried, Conca, Aldo
The maximal minors of a matrix of indeterminates are a universal Gr\"obner basis by a theorem of Bernstein, Sturmfels and Zelevinsky. On the other hand it is known that they are not always a universal Sagbi basis. By an experimental approach we discu
Externí odkaz:
http://arxiv.org/abs/2302.14345
This paper classifies all modular data of integral modular fusion categories up to rank 13. Furthermore, it also classifies all integral half-Frobenius fusion rings up to rank 12. We find that each perfect integral modular fusion category up to rank
Externí odkaz:
http://arxiv.org/abs/2302.01613
Autor:
Bruns, Winfried
We survey the computation of polytope volumes by the algorithms of Normaliz to which the Lawrence algorithm has recently been added. It has enabled us to master volume computations for polytopes from social choice in dimension $119$. This challenge r
Externí odkaz:
http://arxiv.org/abs/2112.09518
Autor:
Bruns, Winfried
We discuss the computation of automorphism groups and normal forms of cones and polyhedra in Normaliz, and indicate its implementation via nauty. The types of automorphisms include integral, rational, Euclidean and combinatorial, as well as algebraic
Externí odkaz:
http://arxiv.org/abs/2112.08145
Autor:
Bruns, Winfried, Ichim, Bogdan
Publikováno v:
Scientific Reports 13 (2023), 13266
We describe several analytical results obtained in five candidates social choice elections under the assumption of the Impartial Anonymous Culture. These include the Condorcet and Borda paradoxes, as well as the Condorcet efficiency of plurality, neg
Externí odkaz:
http://arxiv.org/abs/2109.00473
This note has two goals. The first is to give a short and self contained introduction to the Castelnuovo-Mumford regularity for standard graded ring $R$ over a general base ring. The second is to present a simple and concise proof of a classical resu
Externí odkaz:
http://arxiv.org/abs/2107.14734
Autor:
Bruns, Winfried, Conca, Aldo
Publikováno v:
In Journal of Symbolic Computation January-February 2024 120
