6 citations · 8 across the 5 of their papers we have counts for
11 papers · 1 filter
Conic divisor classes over a normal monoid algebra
Winfried Bruns
Let R=K[M] be a normal affine monoid algbera over a field K.Up to isomorphism the conic ideals are exactly the direct summands ofthe extension R^{1/n} of R. We show that the classe…
Groebner bases, initial ideals and initial algebras
Winfried Bruns, Aldo Conca
We give an introduction to the theory of initial ideals and initial algebras with emphasis on the transfer of structural properties.
Groebner bases and determinantal ideals
W. Bruns, A Conca
We give an introduction to the theory of determinantal ideals and rings, their Groebner bases, initial ideals and algebras, respectively. The approach is based on the straightening…
Canonical modules of Rees algebras
Winfried Bruns, Gaetana Restuccia
We compute the canonical class of certain Rees algebras. Our formula generalizes that of Herzog and Vasconcelos. Its proof relies on the fact that the formation of the canonical mo…
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…
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…