Algebraic Geometry Seminar

[Pietro De Poi]

Wednesday, 22nd December - 12:30 a.m.

Sala Riunioni - Dipartimento di Matematica e Informatica - Università di 
Udine

Prof. Dr.  Remke Nanne Kloosterman (Humboldt Universität - Berlin)

"The average rank of elliptic n-folds"


Abstract

For elliptic curves over number fields it is conjectured that half the
curves have rank 1 and half the curves have rank 0. Similarly, if C /
F_q  is a curve then it is conjectured the half the elliptic curves
over
F_q(C) have rank 0 and half the curves have rank 1. In this talk we show
that the situation is different if one considers elliptic curves over
F_q(V), with dim(V)>1.