arXiv subjects
Publications and source records attributed to Tovondrainy Christalin Razafindramahatsiaro.
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.
In this paper, we investigate properties of automorphism groups of function fields in one variable in relation to its reductions with respect to special valuations. In 1969, Deligne and Mumford proved that there exists a natural injective homomorphism between the automorphism groups of $\mathcal{X}_η$ and any special fibre of $\mathcal{X}.$ Here, we give a generalisation of this theorem in function field setting of Deuring's theory of constant reductions.