Number Theory Seminar

Speaker: Robin de Jong (Leiden)

Title: Neron-Tate heights of cycles on jacobians.

Abstract: We discuss a method to calculate explicitly the Neron-Tate height of
certain integral cycles on jacobians of curves defined over global fields.
For example, we obtain closed expressions for the Neron-Tate height of the
difference surface, the Abel-Jacobi image of (the square of) the curve,
and of any symmetric theta divisor on the jacobian. We discuss
applications to the effective Bogomolov conjecture. The results are
phrased in terms of arithmetic intersection theory on the curve.