Martin Kreuzer

collaborators

3 papers

math.AC2026

Graded Algebras over Polynomial Rings

Martin Kreuzer, Lorenzo Robbiano

Given a trivially graded polynomial ring $A = K [a_{1}, \dots, a_{m}]$ over a field $K$ and a positively graded polynomial ring $P = A [x_{1}, \dots, x_{k}]$ , we study graded rings $R = P / I$ , where $I…

math.AG2025

Re-Embeddings of Special Border Basis Schemes

Martin Kreuzer, Lorenzo Robbiano

Border basis schemes are open subschemes of the Hilbert scheme of $μ$ points in an affine space $A^{n}$ . They have easily describable systems of generators of their vanishin…

math.AC2024

Efficiently Checking Separating Indeterminates

Bernhard Andraschko, Martin Kreuzer, Le Ngoc Long

In this paper we continue the development of a new technique for computing elimination ideals by substitution which has been called $Z$ -separating re-embeddings. Given an ideal $I$ …