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arXiv · 2107.03561

Classifying spaces of degenerating mixed Hodge structures, V: Extended period domains and algebraic groups

Kazuya Kato·Chikara Nakayama·Sampei Usui
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Abstract

For a linear algebraic group $G$ over $\bf Q$, we consider the period domains $D$ classifying $G$-mixed Hodge structures, and construct the extended period domains $D_{\mathrm{BS}}$, $D_{\mathrm{SL}(2)}$, and $\Gamma \backslash D_{\Sigma}$. In particular, we give toroidal partial compactifications of mixed Mumford--Tate domains.

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Kazuya Kato, Chikara Nakayama, Sampei Usui. 2021-07-08. Classifying spaces of degenerating mixed Hodge structures, V: Extended period domains and algebraic groups. https://arxiv.org/abs/2107.03561

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