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 |
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