Yuhan Zha

Let $\omega$ be a relative differential on aithmetic surface $X$. We construct a family of rational functions $G_x$ on $X\otimes\Bbb{C}$, which can approximate local antiderivatives of $\omega$ over an open set on $X\otimes\Bbb{C}$. From…

We give a mathematical structure on an arithmetic surface, that has algebraic meanings over finite places and can estimate the canonical norm for a relative differential form on the arithmetic surface. This will give a lower bound for the…