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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.
Thiéyacine Top, and Oumar Sall. "Points algébriques de degrés au plus 12 sur la quintique de Fermat." Acta Arithmetica 169.4 (2015): 385-395. <http://eudml.org/doc/279549>.
@article{ThiéyacineTop2015, author = {Thiéyacine Top, Oumar Sall}, journal = {Acta Arithmetica}, keywords = {algebraic point; algebraic curve; Fermat curve}, language = {fre}, number = {4}, pages = {385-395}, title = {Points algébriques de degrés au plus 12 sur la quintique de Fermat}, url = {http://eudml.org/doc/279549}, volume = {169}, year = {2015}, }
TY - JOUR AU - Thiéyacine Top AU - Oumar Sall TI - Points algébriques de degrés au plus 12 sur la quintique de Fermat JO - Acta Arithmetica PY - 2015 VL - 169 IS - 4 SP - 385 EP - 395 LA - fre KW - algebraic point; algebraic curve; Fermat curve UR - http://eudml.org/doc/279549 ER -