Open conditions for infinite multiplicity eigenvalues on elliptic curves
Number Theory
2007-05-23 v4 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0503156,
title = {Open conditions for infinite multiplicity eigenvalues on elliptic curves},
author = {Bo-Hae Im and Michael Larsen},
journal= {arXiv preprint arXiv:math/0503156},
year = {2007}
}
Comments
Further changes to Prop. 3.1