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.
keyword : décomposition cyclic groebner
Type de document :
Communication dans un congrès
Shirayanagi and Yokoyama. Fifth Asian Symposium on Computer Mathematics - ASCM'2001, Sep 2001, Matsuyama, Japan. World Scientific, 9, pp.1--12, 2001, Lecture Notes on Computing. 〈10.1142/9789812799661_0001〉
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https://hal.inria.fr/inria-00100597
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 14:48:01
Dernière modification le : mercredi 21 mars 2018 - 18:58:14

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INRIA | LORIA | UNIV-LORRAINE | LIP6 | UPMC

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Jean-Charles Faugère. Finding all the Solutions of Cyclic 9 using Gröbner Basis Techniques. Shirayanagi and Yokoyama. Fifth Asian Symposium on Computer Mathematics - ASCM'2001, Sep 2001, Matsuyama, Japan. World Scientific, 9, pp.1--12, 2001, Lecture Notes on Computing. 〈10.1142/9789812799661_0001〉. 〈inria-00100597〉

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