Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals

Details Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals

2003-08-07

arxiv.org/abs/math/0308066v2

Mich. Math. J. 53, No. 1, 71-81 (2005)

Mathematics

Commutative Algebra

11 pages

Scientific paper

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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