Lifting Problem on Automorphism Groups of Cyclic Curves
Algebraic Geometry
2016-02-02 v1
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.
Cite
@article{arxiv.1602.00418,
title = {Lifting Problem on Automorphism Groups of Cyclic Curves},
author = {Tovondrainy Christalin Razafindramahatsiaro},
journal= {arXiv preprint arXiv:1602.00418},
year = {2016}
}