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.
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⟩