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math.AC2023
A New Invariant of Lattice polytopes
Winfried Bruns, Takayuki Hibi
The maximal degree of monomials belonging to the unique minimal system of monomial generators of the canonical module of the toric ring defin…
math.AC2023
Sagbi combinatorics of maximal minors and a Sagbi algorithm
Winfried Bruns, Aldo Conca
The maximal minors of a matrix of indeterminates are a universal Gröbner basis by a theorem of Bernstein, Sturmfels and Zelevinsky. On the other hand it is known that they are not…
math.QA2023
Classification of integral modular data up to rank 13
Max A. Alekseyev, Winfried Bruns, Sebastien Palcoux +1
This paper classifies the modular data of integral modular fusion categories up to rank 13, and integral half-Frobenius fusion rings up to rank 12. We establish that every perfect…