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Preprint Number 2122

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2122. Benjamin Bakker and Scott Mullane
Definable structures on flat bundles

Submission date: 6 January 2022


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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Full text arXiv 2201.02144: pdf, ps.

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