Extended period domains and algebraic groups

Kazuya Kato; Chikara Nakayama; Sampei Usui

Extended period domains and algebraic groups

Algebraic Geometry 2015-08-19 v1

Authors: Kazuya Kato , Chikara Nakayama , Sampei Usui

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.

Keywords

hodge theory algebra classification and gradings associative algebras

Cite

@article{arxiv.1508.04318,
  title  = {Extended period domains and algebraic groups},
  author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
  journal= {arXiv preprint arXiv:1508.04318},
  year   = {2015}
}

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