Extended period domains, algebraic groups, and higher Albanese manifolds
Algebraic Geometry
2016-11-15 v2
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.
Keywords
Cite
@article{arxiv.1611.03179,
title = {Extended period domains, algebraic groups, and higher Albanese manifolds},
author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
journal= {arXiv preprint arXiv:1611.03179},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1508.04318