On Parshin-Arakelov theorem and uniformity of $S$-integral sections on elliptic surfaces
On Parshin-Arakelov theorem and uniformity of $S$-integral sections on elliptic surfaces
Let $f \colon X \to B$ be a complex elliptic surface and let $\DD \subset X$ be an integral divisor dominating $B$. It is well-known that the Parshin-Arakelov theorem implies the Mordell conjecture over complex function fields by a beautiful covering trick of Parshin. In this article, we construct a …