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Finding all the Solutions of Cyclic 9 using Gröbner Basis Techniques

Jean-Charles Faugère 1, 2
1 CALFOR - Calcul formel
LIP6 - Laboratoire d'Informatique de Paris 6
2 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We show how computer algebra methods based on Groebner basis computation and implemented in the program FGb enable us to compute all the solution of the Cyclic $9$ problem a previously untractable problem. There are one type of infinite solutions of dimension two and 6156 isolated points without multiplicities.
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Submitted on : Tuesday, September 26, 2006 - 2:48:01 PM
Last modification on : Friday, February 26, 2021 - 3:28:06 PM

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Jean-Charles Faugère. Finding all the Solutions of Cyclic 9 using Gröbner Basis Techniques. Fifth Asian Symposium on Computer Mathematics - ASCM'2001, Sep 2001, Matsuyama, Japan. pp.1--12, ⟨10.1142/9789812799661_0001⟩. ⟨inria-00100597⟩



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