Open conditions for infinite multiplicity eigenvalues on elliptic curves

Details Open conditions for infinite multiplicity eigenvalues on elliptic curves Open conditions for infinite multiplicity eigenvalues on elliptic curves

2005-03-08

arxiv.org/abs/math/0503156v4

Mathematics

Number Theory

Further changes to Prop. 3.1

Scientific paper

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.

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