## Arithmetic differential operators on a semistable model of ${\mathbb P}^1$

In this paper we study sheaves of logarithmic arithmetic differential opera- tors on a particular semistable model of the projective line. The main result here is that the first cohomology group of these sheaves contains a non-torsion element. This shows that the model is not D-affine for such differential operators.

Publication Date:
Nov 14 2018
Date Submitted:
Jul 10 2019
ISSN:
0025-5874
Citation:
Mathematische Zeitschrift

Note: The status of this file is: public