Geodesic
On pairings in elliptic curves over global fields
Izvestiya. Mathematics , Tome 12 (1978) no. 2, pp. 225-246

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In this paper the author constructs and investigates the nondegeneracy of pairings in the Galois cohomology of objects naturally attached to an elliptic curve defined over a global field. He constructs a series of curves over a global function field that have finite $\text{ш}$ and among whose minimal models are surfaces of arbitrarily large arithmetic genus. Bibliography: 49 titles. 
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     author = {O. N. Vvedenskii},
     title = {On pairings in elliptic curves over global fields},
     journal = {Izvestiya. Mathematics },
     pages = {225--246},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {1978},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a2/}
}
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O. N. Vvedenskii. On pairings in elliptic curves over global fields. Izvestiya. Mathematics , Tome 12 (1978) no. 2, pp. 225-246. http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a2/