Coleman, Robert F.

Stable maps of curves

Doc. Math. (Bielefeld) Extra Vol. Kazuya Kato's Fiftieth Birthday, 217-225 (2003)


Let $h\colon X\to Y$ be a finite morphism of smooth connected complete curves over ${\bold C}_p$. We show $h$ extends to a finite morphism between semi-stable models of $X$ and $Y$.

Mathematics Subject Classification

14H25, 11G20, 14G20, 14G22