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arXiv · 1611.03179

Extended period domains, algebraic groups, and higher Albanese manifolds

Kazuya Kato·Chikara Nakayama·Sampei Usui
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Abstract

For a linear algebraic group G over the field of rational numbers, we consider the period domains D classifying G-mixed Hodge structures, and construct the extended period domains as toroidal partial compactifications. We give an interpretation of higher Albanese manifolds by Hain and Zucker by using the above D for some G, and extend them via the toroidal partial compactifications.

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Kazuya Kato, Chikara Nakayama, Sampei Usui. 2016-11-14. Extended period domains, algebraic groups, and higher Albanese manifolds. https://arxiv.org/abs/1611.03179

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