Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions

Details Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions

1992-02-20

arxiv.org/abs/alg-geom/9202020v1

Mathematics

Algebraic Geometry

10 pages, plain TeX

Scientific paper

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.

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