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Conference Papers Year : 2001

Finding all the Solutions of Cyclic 9 using Gröbner Basis Techniques

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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Other [cs.OH]
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Dates and versions

inria-00100597 , version 1 (26-09-2006)

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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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