On the Constant Reductions of Automorphism Groups of valued Function Fields
Algebraic Geometry
2016-02-01 v1
Abstract
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 and any special fibre of Here, we give a generalisation of this theorem in function field setting of Deuring's theory of constant reductions.
Keywords
Cite
@article{arxiv.1601.07998,
title = {On the Constant Reductions of Automorphism Groups of valued Function Fields},
author = {Tovondrainy Christalin Razafindramahatsiaro},
journal= {arXiv preprint arXiv:1601.07998},
year = {2016}
}