Lifting Problem on Automorphism Groups of Cyclic Curves

Abstract

Let X be a smooth projective hyperelliptic curve over an algeraically closed field k of prime characteristic p. The aim of this note is to find necessary and sufficient conditions on the automorphism group of the curve X to be lifted to characteristic zero. The results will be generalised for a certain family of curves that we call cyclic curves.

References in corpus (3)

• Finite p-Irregular Subgroups of PGL(2,k)
• Automorphisms of hyperelliptic modular curves $X_0(N)$ in positive characteristic
• On the Constant Reductions of Automorphism Groups of valued Function Fields