Can I read The Average Rank of Elliptic $N$-folds on EtoBox?

The Average Rank of Elliptic $N$-folds by Kloosterman, Remke is a scholarly article available to read on EtoBox.

What is The Average Rank of Elliptic $N$-folds about?

Let $V/\mathbb{F}_q$ be a variety of dimension at least two. We show that the density of elliptic curves $E/\mathbb{F}_q(V)$ with positive rank is zero if $V$ has dimension at least 3 and is at most $1-\zeta_V(3)^{-1}$ if $V$ is a surface.

Author

Kloosterman, Remke

Published

2010

Language

EN