On the $p$-adic distance between a point of finite order and a curve of genus higher or equal to two

Damian Rössler

Let $A$ be an abelian variety over ${\mathbf{C}}_p$ ($p$ a prime number) and $V\hookrightarrow A$ a closed subvariety. The conjecture of Tate-Voloch predicts that the $p$-adic distance…