arXiv subjects

Attila Wiebe

Publications and source records attributed to Attila Wiebe.

2 recordsLinked to original sources

arXiv2004

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

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.

math.AC↗

arXiv2003

The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals

For standard graded Artinian $K$-algebras defined by componentwise linear ideals and Gotzmann ideals, we give conditions for the weak Lefschetz property in terms of numerical invariants of the defining ideals.

math.AC↗