Remarks on rigid irreducible meromorphic connections on the projective line

TL;DR

This paper discusses the Arinkin-Deligne-Katz algorithm for rigid irreducible meromorphic connections on the projective line, highlighting motivicity implications akin to Katz's results for local systems.

Contribution

It provides a detailed illustration of the algorithm and explores motivicity consequences, extending Katz's work to a broader class of connections.

Findings

Illustration of the Arinkin-Deligne-Katz algorithm

Motivic implications for rigid irreducible connections

Extension of Katz's motivicity results

Abstract

We illustrate the Arinkin-Deligne-Katz algorithm for rigid irreducible meromorphic bundles with connection on the projective line by giving motivicity consequences similar to those given by Katz for rigid local systems.