Multigraded Hilbert Functions and Buchberger Algorithm

  title={Multigraded Hilbert Functions and Buchberger Algorithm},
  author={Massimo Caboara and Gabriel de Dominicis and Lorenzo Robbiano},
In this paper we continue the work done in [GMRT]. Namely we describean algorithm which allows to drive the classicalBuchberger Algorithm by meansof multigrade Hilbert-Poincar6 series. The resuIt is that in the multigrade caseone can kill many more useless critical pairs. Besides, the new algorithm, called MGHDriven, is intrinsically parallelizable and it is now implemented in ~~ (see [cNR]). 
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