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arXiv · 2201.02144

Definable structures on flat bundles

Benjamin Bakker·Scott Mullane
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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.

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Benjamin Bakker, Scott Mullane. 2022-01-06. Definable structures on flat bundles. https://arxiv.org/abs/2201.02144

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