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math.NT2012
Infinite rank of elliptic curves over $\mathbf{Q}^{\ab}$
Bo-Hae Im, Michael Larsen
If is an elliptic curve defined over a quadratic field , and the -invariant of is not 0 or 1728, then $E(\mathbf{Q}^{\ab})$ has infinite rank. If is an elliptic c…
math.NT2012
Some Applications of the Hales-Jewett Theorem to Field Arithmetic
Bo-Hae Im, Michael Larsen
Let be a field whose absolute Galois group is finitely generated. If neither finite nor of characteristic 2, then every hyperelliptic curve over with all of its Weierst…