Summary
We study correspondences between projective curves over \(\mathbb{Q}^ -\).
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References
G. V. Belyĭ “Galois extensions of a maximal cyclotomic field”, Izv. Akad. Nauk SSSR Ser. Mat.43 (1979), no. 2, p. 267–276, 479.
F. A. Bogomolov and T. G. Pantev —Weak Hironaka theorem”, Math. Res. Lett.3 (1996), no. 3, p. 299–307.
F. A. Bogomolov and T. Petrov — Algebraic curves and one-dimensional fields, Courant Lecture Notes in Mathematics, vol. 8, New York University Courant Institute of Mathematical Sciences, New York, 2002.
F. A. Bogomolov and Y. Tschinkel —Unramified correspondences”, Algebraic number theory and algebraic geometry, Contemp. Math., vol. 300, Amer. Math. Soc., Providence, RI, 2002, p. 17–25.
E. Bombieri and U. Zannier —Algebraic points on subvarieties of Gnm”, Internat. Math. Res. Notices (1995), no. 7, p. 333–347.
N. D. Elkies —ABC implies Mordell”, Internat. Math. Res. Notices (1991), no. 7, p. 99–109.
F. Klein — Lectures on the icosahedron and the solution of equations of the fifth degree, revised ed., Dover Publications Inc., New York, N.Y., 1956.
M. Laurent —Équations diophantiennes exponentielles”, Invent. Math.78 (1984), no. 2, p. 299–327.
M. McQuillan —Division points on semi-abelian varieties”, Invent. Math.120 (1995), no. 1, p. 143–159.
L. Moret-Bailly —Hauteurs et classes de Chern sur les surfaces arithmétiques”, Astérisque (1990), no. 183, p. 37–58, Séminaire sur les Pinceaux de Courbes Elliptiques (Paris, 1988).
M. Raynaud —Courbes sur une variété abélienne et points de torsion”, Invent. Math.71 (1983), no. 1, p. 207–233.
L. Szpiro —Discriminant et conducteur des courbes elliptiques”, Astérisque (1990), no. 183, p. 7–18, Séminaire sur les Pinceaux de Courbes Elliptiques (Paris, 1988).
S. Zhang —Positive line bundles on arithmetic varieties”, J. Amer. Math. Soc.8 (1995), no. 1, p. 187–221.
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Bogomolov, F., Tschinkel, Y. (2005). Couniformization of curves over number fields. In: Bogomolov, F., Tschinkel, Y. (eds) Geometric Methods in Algebra and Number Theory. Progress in Mathematics, vol 235. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4417-2_2
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DOI: https://doi.org/10.1007/0-8176-4417-2_2
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4349-2
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