Abstract
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 (see [G-N] and [A-G-N])) 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.
The paper was partly supported by Consiglio Nazionale delle Ricerche.
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Niesi, G., Robbiano, L. (1993). Disproving Hibi’s Conjecture with CoCoA or Projective Curves with bad Hilbert Functions. In: Eyssette, F., Galligo, A. (eds) Computational Algebraic Geometry. Progress in Mathematics, vol 109. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2752-6_14
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DOI: https://doi.org/10.1007/978-1-4612-2752-6_14
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