%0 Journal Article
%T On Tate's conjecture for elliptic modular surfaces over finite fields
%A R¨Śmi Lodh
%J Mathematics
%D 2013
%I arXiv
%X For $N\geq 3$, we show Tate's conjecture for the elliptic modular surface $E(N)$ of level $N$ over $\mathbb{F}_p$ for a prime $p$ satisfying $p\equiv 1\mod N$ outside of a set of primes of density zero. We also prove a strong form of Tate's conjecture for $E(N)$ over any finite field of characteristic $p$ prime to $N$ under the assumption that the formal Brauer group of $E(N)$ is of finite height.
%U http://arxiv.org/abs/1310.5026v3