Definable structures on flat bundles
Algebraic Geometry
2022-01-07 v1 Complex Variables
Logic
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.
Cite
@article{arxiv.2201.02144,
title = {Definable structures on flat bundles},
author = {Benjamin Bakker and Scott Mullane},
journal= {arXiv preprint arXiv:2201.02144},
year = {2022}
}
Comments
7 pages. Comments welcome!