TY - JOUR
AU - FALL, Moussa
AU - CAMARA, Moustapha
AU - SALL, Oumar
PY - 2023/07/28
Y2 - 2023/09/25
TI - ALGEBRAIC POINTS OF DEGREE AT MOST 14 ON THE FERMAT SEPTIC: ALGEBRAIC POINTS ON THE FERMAT SEPTIC
JF - Journal of the Nigerian Mathematical Society
JA - JNMS
VL - 42
IS - 2
SE - Articles
DO -
UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/897
SP - 96 - 110
AB - <p>In this paper, we study the algebraic points of degree at most 14 over Q on the Fermat septic<br>curve F7 of projective equation X<sup>7</sup> + Y <sup>7</sup> + Z<sup>7</sup> = 0. Klassen and Tzermias gave in 1997 in ([5]) a geometric<br>description of algebraic points of degree at most 5 over Q on F<sub>7</sub> and O. Sall improved the results of Klassen<br>and Tzermias by determining in 2001 in ([9]), the algebraic points of degree at most 10 over Q. Using their<br>results and Abel Jacobi's theorem, we extend their work by giving a geometric description of algebraic points<br>of degree at most 14 over Q on F<sub>7</sub>.</p>
ER -