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arXiv · 2207.10902

Categories of complex variations of Hodge structure over compact K"ahler manifolds

Hisashi Kasuya
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Abstract

We give a complex polarized variation of Hodge structure over a compact K"ahler manifold $M$ which controls all finite-dimensional complex polarized variations of Hodge structure over $M$ and their tensor relations. As a corollary, we obtain the cohomology algebra with values in a local system admitting multiplicative Hodge structures.

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Hisashi Kasuya. 2022-07-22. Categories of complex variations of Hodge structure over compact K"ahler manifolds. https://arxiv.org/abs/2207.10902

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