L. Robbiano

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math.AC2026

Border Bases and Border Basis Schemes

Lorenzo Robbiano

This survey invites the readers on a journey spanning more than twenty years of research through the landscape of border basis schemes. During most of this period, I had the pleasu…

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…