论文标题

扁平捆绑结构

Definable structures on flat bundles

论文作者

Bakker, Benjamin, Mullane, Scott

论文摘要

代数品种上的平坦矢量束支持平坦和代数坐标给出的两个天然可定义结构。在本说明中,我们显示了这两种结构的重合,但要面对无穷大的局部单构型的条件,这对于霍奇结构的所有平面束都满足。

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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