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

Kazuya Kato; Chikara Nakayama; Sampei Usui

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

Algebraic Geometry 2021-07-09 v1

Authors: Kazuya Kato , Chikara Nakayama , Sampei Usui

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.

Keywords

mixed hodge structures period domains linear algebraic groups toroidal compactifications mumford-tate domains algebraic geometry hodge theory

Cite

@article{arxiv.2107.03561,
  title  = {Classifying spaces of degenerating mixed Hodge structures, V: Extended period domains and algebraic groups},
  author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
  journal= {arXiv preprint arXiv:2107.03561},
  year   = {2021}
}

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

Abstract

Keywords

Cite

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