Points algébriques de degrés au plus 12 sur la quintique de Fermat
Volume 169 / 2015
Acta Arithmetica 169 (2015), 385-395
MSC: Primary 11G30; Secondary 14H25, 14H45.
DOI: 10.4064/aa169-4-6
Abstract
We determine explicitly the set of algebraic points of degree at most 12 over $\mathbb {Q}$ 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 $\mathbb {Q}$.