Open conditions for infinite multiplicity eigenvalues on elliptic curves

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Let E be an elliptic curve defined over a number field K, V the complexification of the group of rational points of E over an algebraic closure L of K, and G the Galois group Gal(L/K). We show that for each root of unity w, the set of elements g in G such that w is an eigenvalue of infinite multiplicity for g acting on V has non-empty interior.
Further changes to Prop. 3.1

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Number Theory, Algebraic Geometry, 11G05

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http://salesiana.dossiersoluciones.com/handle/123456789/101112

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503156
 http://arxiv.org/abs/math/0503156

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arXiv