Geodesic
Algebraic curves over function fields. I
Izvestiya. Mathematics , Tome 2 (1968) no. 5, pp. 1145-1170.

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This paper studies the diophantine geometry of curves of genus greater than unity defined over a one-dimensional function field. 
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A. N. Parshin. Algebraic curves over function fields. I. Izvestiya. Mathematics , Tome 2 (1968) no. 5, pp. 1145-1170. http://geodesic.mathdoc.fr/item/IM2_1968_2_5_a12/

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