3 citations · 3 across the 3 of their papers we have counts for
5 papers · 1 filter
Computing all border bases for ideals of points
Amir Hashemi, Martin Kreuzer, Samira Pourkhajouei
In this paper we consider the problem of computing all possible order ideals and also sets connected to 1, and the corresponding border bases, for the vanishing ideal of a given fi…
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…
The rigidity of totally nondegenerate model CR manifolds
Masoud Sabzevari, Amir Hashemi
In this paper, we prove that every real analytic totally nondegenerate model CR manifold of length >= 3 has rigidity. This result was actually conjectured before by Valerii Belosha…