Algebraic points of degree at most 2 on the affine curves \(x^p + y^{pq} = 1\). (English) Zbl 1538.14006
MSC:
14H50 | Plane and space curves |
14G05 | Rational points |
12F05 | Algebraic field extensions |
14A10 | Varieties and morphisms |
11R18 | Cyclotomic extensions |
References:
[1] | B. Gross and D. Rohrlich, Some results on the Mordell-Weil group of the Jacobian of the Fermat curve, Invent. Math. 44 (1978), 201-224. · Zbl 0369.14011 |
[2] | G. Faltings, Endlichkeitsätze für abelsch Varietäten über Zahlkörpen, Invent. Math. 73 (1983), 349-366. · Zbl 0588.14026 |
[3] | M. Hindry and J. H. Silverman, Diophantine geometry, an introduction, Graduate Texts in Mathematics 201, Springer-Verlag, 2000. · Zbl 0948.11023 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.