5 citations · 18 across the 12 of their papers we have counts for
3 papers · 1 filter
A new iterative algorithm for comprehensive Grobner systems
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
A Comprehensive Grobner system for a parametric ideal I in K(A)[X] represents the collection of all Grobner bases of the ideals I' in K[X] obtained as the values of the parameters…
Computing and Using Minimal Polynomials
John Abbott, Anna Maria Bigatti, Elisa Palezzato +1
Given a zero-dimensional ideal I in a polynomial ring, many computations start by finding univariate polynomials in I. Searching for a univariate polynomial in I is a particular ca…
Extremal behaviour in sectional matrices
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
In this paper we want to revive the object sectional matrix which encodes the Hilbert functions of successive hyperplane sections of a homogeneous ideal. We translate and/or reprov…