DC MetaData for:Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals

Initial Algebra determinantal ring divisor class group Cohen-Macaulay module Ulrich module Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals Winfried Bruns Bruns Winfried Tim Roemer Roemer Tim Attila Wiebe Wiebe Attila

13C14 Cohen-Macaulay modules

13C20 Class groups

13F50 Rings with straightening laws, Hodge algebras

13P99 None of the above, but in this section

14M12 Determinantal varieties

Abstract
We study initial algebras of determinantal rings, defined by minors of generic matrices, with respect to their classical generic point. This approach leads to very short proofs for the structural properties of determinantal rings. Moreover, it allows us to classify their Cohen-Macaulay and Ulrich ideals.

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