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math.AC2001
Minors of symmetric and exterior powers
Winfried Bruns, Wolmer V. Vasconcelos
We describe some of the determinantal ideals attached to symmetric, exterior and tensor powers of a matrix. The methods employed use elements of Zariski's theory of complete ideals…
math.AC2001
Algebras of minors
Winfried Bruns, Aldo Conca
Let be an matrix of indeterminates over a field (of sufficiently large characteristic) and the set of -minors of . We consider two objects: (1) the…
math.AC2001
Problems and algorithms for affine semigroups
Winfried Bruns, Joseph Gubeladze, Ngo Viet Trung
In this article we overview those aspects of the theory of affine semigroups and their algebras that have been relevant for our own research, and pose several open problems. Answer…