Rank growth of abelian varieties over certain finite Galois extensions
Rank growth of abelian varieties over certain finite Galois extensions
We prove that if $f:X \rightarrow A$ is a morphism from a smooth projective variety $X$ to an abelian variety $A$ over a number field $K$, $G$ is a subgroup of automorphisms of $X$ satisfying certain properties, and if a prime $p$ divides the order of $G$, then the rank …