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arXiv · 1809.03716

Morgan's mixed Hodge structures and nonabelian Hodge structures

Hisashi Kasuya
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Abstract

We refine the Morgan's work on mixed Hodge structures on Sullivan's $1$--minimal models by using non-abelian Hodge theory. As an application, we give explicit representatives of real unipotent variations of mixed Hodge structures over compact K"ahler manifolds.

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BibTeXRIS

Hisashi Kasuya. 2018-09-11. Morgan's mixed Hodge structures and nonabelian Hodge structures. https://doi.org/10.1080/00927872.2021.1880590

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