Extended period domains and algebraic groups

Kazuya Kato; Chikara Nakayama; Sampei Usui

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arXiv · 1508.04318

Extended period domains and algebraic groups

Kazuya Kato·Chikara Nakayama·Sampei Usui

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Abstract

For a linear algebraic group $G$ over $\mathbf Q$, we consider the period domains $D$ classifying $G$-mixed Hodge structures, and construct the extended period domains $D_{\Sigma}$. In particular, we give toroidal partial compactifications of mixed Mumford--Tate domains, mixed Shimura varieties over $\mathbf C$, and higher Albanese manifolds.

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Kazuya Kato, Chikara Nakayama, Sampei Usui. 2015-08-18. Extended period domains and algebraic groups. https://arxiv.org/abs/1508.04318

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