Small Connections are cyclic
Number Theory
2014-07-15 v1
Abstract
The main local invariants of a (one variable) differential module over the complex numbers are given by means of a cyclic basis. In the -adic setting the existence of a cyclic vector is often unknown. We investigate the existence of such a cyclic vector in a Banach algebra. We follow the explicit method of Katz, and we prove the existence of such a cyclic vector under the assumption that the matrix of the derivation is small enough in norm.
Cite
@article{arxiv.1407.3761,
title = {Small Connections are cyclic},
author = {Andrea Pulita},
journal= {arXiv preprint arXiv:1407.3761},
year = {2014}
}
Comments
11 pages