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math.AG2018
Computation of Pommaret Bases Using Syzygies
Bentolhoda Binaei, Amir Hashemi, Werner M. Seiler
We investigate the application of syzygies for efficiently computing (finite) Pommaret bases. For this purpose, we first describe a non-trivial variant of Gerdt's algorithm to cons…
math.AG2018
A Pommaret Bases Approach to the Degree of a Polynomial Ideal
Bentolhoda Binaei, Amir Hashemi, Werner M. Seiler
In this paper, we study first the relationship between Pommaret bases and Hilbert series. Given a finite Pommaret basis, we derive new explicit formulas for the Hilbert series and…