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Gröbner bases computation using syzygies
Bases Computation Mollert Teo Mora$ Using Syzygies*
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The shape of the Shape Lemma
TLDR
The Shape Lemma was originally introduced in [3] and so christened by Lakshman ([5]). Expand
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  • 9
Gröbner Trace Algorithms
  • C. Traverso
  • Mathematics, Computer Science
  • ISSAC
  • 4 July 1988
  • 63
  • 5
“One sugar cube, please” or selection strategies in the Buchberger algorithm
TLDR
In this paper redescribe some experimentti findings on selection strategies for Gr6bner basis computation with the Buchberger algorithm. Expand
  • 177
  • 4
Numerical stability and stabilization of Groebner basis computation
TLDR
We show that the intrinsic instability of the problem is high but not such as to make the problem unmanageable, and that there is space to improve the numerical stability of the algorithms. Expand
  • 43
  • 4
  • PDF
On seminormal schemes
© Foundation Compositio Mathematica, 1980, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditionsExpand
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  • PDF
Newton Symmetric Functions and the Arithmetic of Algebraically Closed Fields
TLDR
In this paper we analyze some points regarding computations on algebraically closed fields. Expand
  • 25
  • 3
Experimenting the Gröbner basis algorithm with the A1PI system
TLDR
The AlPI (Algoritmi Pisa) system is a small polynomial algebra system. Expand
  • 20
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Gröbner bases for public key cryptography
TLDR
We propose two lattice-based cryptosystems that will show the usefulness of multivariate polynomial algebra and Grobner bases in the construction of public key cryptsystems. Expand
  • 14
  • 2
  • PDF
Hilbert Stratification and Parametric Gröbner Bases
TLDR
We generalize a method to analyze inhomogeneous polynomial systems containing parameters. Expand
  • 17
  • 1