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On the Symplectic Type of Isomorphisms of the P-torsion of Elliptic Curves, P...

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On the Symplectic Type of Isomorphisms of the P-torsion of Elliptic Curves, Paperback by Freitas, Nuno; Kraus, Alain, ISBN 1470452103, ISBN-13 9781470452100, Like New Used, Free shipping in the US Freitas and Kraus show the non-existence of rational points on certain hyper-elliptic curves of the form y2 = x(su)p - l and y2 = x(su)p - 2l where l is a prime. They also give incremental results of the Fermat equation x2 + y(su)3 = zp. Their topics are motivation and results, the existence of local symplectic criteria, the criterion in the case of good reduction, elliptic curves with potentially good reduction, the morphism E, proof of the criteria, and applications. Annotation ©2022 Ringgold, Inc., Portland, OR ()

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