Conic bundles over elliptic curves

Abstract: In this talk, we'll explore the arithmetic of conic bundles $X \to E$ over elliptic curves of positive Mordell-Weil rank over a number field k. We will consider questions regarding the distribution of the rational points of X by examining the image of X(k) inside of the rational points of the base elliptic curve E. In the process, we will mention a result on a local-to-global principle for torsion points on elliptic curves over the rationals. This is joint work with Masahiro Nakahara.

algebraic geometrynumber theory

Audience: researchers in the topic

MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)

Series comments: Description: Research seminar in arithmetic geometry

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