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Heegner Points over Towers of Kummer Extensions

Heegner Points over Towers of Kummer Extensions

Abstract Let E be an elliptic curve, and let L n be the Kummer extension generated by a primitive pn th root of unity and a p n -th root of a for a fixed a ∈ ℚ× − ﹛±﹜1﹜. A detailed case study by Coates, Fukaya, Kato and Sujatha …