Geodesic
Integral points on curves of genus $p>1$
Izvestiya. Mathematics, Tome 5 (1971) no. 4, pp. 770-776 
A. I. Lapin. Integral points on curves of genus $p>1$. Izvestiya. Mathematics, Tome 5 (1971) no. 4, pp. 770-776. http://geodesic.mathdoc.fr/item/IM2_1971_5_4_a2/
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     author = {A. I. Lapin},
     title = {Integral points on curves of genus~$p>1$},
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     number = {4},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_4_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we disprove a conjecture of C. L. Siegel on the uniform boundedness of the number of integral points on hyperelliptic curves of given genus and defined over a function field.

[1] Siegel C. L., “Über einige Anwendungen Diophantischer Approximationen”, Abh. Preuss. Ak. Wiss. Phys. Math., 1929, 41–69

[2] Manin Yu. I., “Ratsionalnye tochki algebraicheskikh krivykh nad funktsionalnymi polyami”, Izv. AN SSSR. Ser. matem., 27 (1963), 1395–1440 | MR

[3] Lapin A. I., “O ratsionalnykh tochkakh ellipticheskoi krivoi”, Izv. AN SSSR. Ser. matem, 29 (1965), 701–716 | MR | Zbl