3 citations · 3 across the 3 of their papers we have counts for
3 papers · 1 filter
Improved Computation of Involutive Bases
Bentolhoda Binaei, Amir Hashemi, Werner M. Seiler
In this paper, we describe improved algorithms to compute Janet and Pommaret bases. To this end, based on the method proposed by Moller et al., we present a more efficient variant…
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…
Dimension-Dependent Upper Bounds for Grobner Bases
Amir Hashemi, Werner M. Seiler
We improve certain degree bounds for Grobner bases of polynomial ideals in generic position. We work exclusively in deterministically verifiable and achievable generic positions of…