We determine explicitly the set of algebraic points of degree at most 12 over ℚ on the Fermat quintic. This extends a previous result given by M. Klassen and P. Tzermias (1997), who described the set of algebraic points of degree at most 6 over ℚ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa169-4-6,
author = {Thi\'eyacine Top and Oumar Sall},
title = {Points alg\'ebriques de degr\'es au plus 12 sur la quintique de Fermat},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {385-395},
zbl = {06456779},
language = {fra},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa169-4-6}
}
Thiéyacine Top; Oumar Sall. Points algébriques de degrés au plus 12 sur la quintique de Fermat. Acta Arithmetica, Tome 168 (2015) pp. 385-395. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa169-4-6/