On globally nilpotent differential equations
Algebraic Geometry
2011-04-20 v4 Number Theory
Abstract
In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution of Fuchsian systems preserves the property of global nilpotence. This leads to a globally nilpotent Fuchsian system of rank two which does not belong to the known classes of globally nilpotent rank two systems. Moreover, we give a globally nilpotent Fuchsian system of rank seven whose differential Galois group is isomorphic to the exceptional simple algebraic group of type
Keywords
Cite
@article{arxiv.math/0605383,
title = {On globally nilpotent differential equations},
author = {Michael Dettweiler and Stefan Reiter},
journal= {arXiv preprint arXiv:math/0605383},
year = {2011}
}