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/