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math.AC2018
Combinatorics of ideals of points: a Cerlienco-Mureddu-like approach for an iterative lex game
M. Ceria
In 1990 Cerlienco and Mureddu gave a combinatorial iterative algorithm which, given an ordered set of points, returns the lexicographical Groebner escalier of the ideal of these po…
math.AC2017
Combinatorics of involutive divisions
Michela Ceria
The classical involutive division theory by Janet decomposes in the same way both the ideal and the escalier. The aim of this paper, following Janet's approach, is to discuss the c…
math.AC2012
A simplified version of the "Axis of Evil Theorem" for distinct points
Michela Ceria
Given a finite set of distinct points, Marinari-Mora's 'Axis of Evil Theorem' states that a combinatorial algorithm and interpolation enable to find a 'linear' factori…