Definable structures on flat bundles. (English) Zbl 07774952
Summary: 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 are compatible, subject to a condition on the local monodromy at infinity that is satisfied for all flat bundles underlying variations of Hodge structures.
© 2023 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
© 2023 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
MSC:
| 03C64 | Model theory of ordered structures; o-minimality |
| 14D07 | Variation of Hodge structures (algebro-geometric aspects) |
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