Automorphisms of Curves and Weierstrass semigroups for Harbater-Katz-Gabber covers

Sotiris Karanikolopoulos, Aristides Kontogeorgis

We study $p$-group Galois covers $X\to {\mathbb{P}}^1$ with only one fully ramified point. These covers are important because of the Katz-Gabber compactification of Galois a…