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This paper is a study of two-descent to find an upper bound for the rank of the Mordell-Weil group A (F) of an elliptic curve A defined over a field F of characteristic two. It includes local and global duality theorems which are the analogs of known results for descent by an isogeny whose degree is relatively prime to the characteristic of the field of definition.doi:10.1090/s0002-9947-1977-0441977-x fatcat:z6buedypbbbdxhg7sdptkq254u