7 citations · 7 across the 3 of their papers we have counts for
3 papers
Deterministic Genericity for Polynomial Ideals
Amir Hashemi, Michael Schweinfurter, Werner M. Seiler
We consider several notions of genericity appearing in algebraic geometry and commutative algebra. Special emphasis is put on various stability notions which are defined in a combi…
Deterministically Computing Reduction Numbers of Polynomial Ideals
Amir Hashemi, Michael Schweinfurter, Werner M. Seiler
We discuss the problem of determining reduction number of a polynomial ideal I in n variables. We present two algorithms based on parametric computations. The first one determines…
Quasi-Stability versus Genericity
Amir Hashemi, Michael Schweinfurter, Werner M. Seiler
Quasi-stable ideals appear as leading ideals in the theory of Pommaret bases. We show that quasi-stable leading ideals share many of the properties of the generic initial ideal. In…