Submission date: 6 January 2022

Abstract:

A flat vector bundle on an algebraic variety supports two natural definable structures given by the flat and algebraic coordinates. In this note we show these two structures coincide, subject to a condition on the local monodromy at infinity which is satisfied for all flat bundles underlying variations of Hodge structures.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 2201.02144: pdf, ps.