1992/02/20 by Gianfranco Niesi, Lorenzo Robbiano, Niesi, G. +1 · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.alg-geom/9202020
openalex publication_date 1992/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show how to combine different techniques from Commutative Algebra and a systematic use of a Computer Algebra System (in our case mainly CoCoA) in order to explicitly construct Cohen-Macaulay domains, which are standard k-algebras and whose Hilbert function is ``bad". In particular we disprove a well-known conjecture by Hibi.