@article{1b37d6e71ac04b82b0201e6cb6a2e610,
title = "Category of mixed plectic hodge structures",
abstract = "The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekovar and Scholl [NS1]. We give an equivalent description of mixed plectic Hodge structures in terms of the weight and partial Hodge filtrations. We also construct an explicit complex calculating the extension groups in this category.",
keywords = "Mixed hodge structures, Plectic structures",
author = "Kenichi Bannai and Kei Hagihara and Shinichi Kobayashi and Kazuki Yamada and Shuji Yamamoto and Yasuda, {And Seidai}",
note = "Funding Information: Acknowledgement. This article is a result of a series of workshops held at Keio University attended by the authors to understand the article [NS1]. The authors would like to thank the KiPAS program at the Faculty of Science and Technology at Keio University for continuous support for this research. The authors would also like to thank the coordinator Masato Kurihara of the JSPS Core-to-Core program “Foundation of a Global Research Cooperative Center in Mathematics focused on Number Theory and Geometry” for funding our research. The authors thank the referee for comments concerning the article. Publisher Copyright: {\textcopyright} 2020 International Press.",
year = "2020",
doi = "10.4310/AJM.2020.V24.N1.A2",
language = "English",
volume = "24",
pages = "31--76",
journal = "Asian Journal of Mathematics",
issn = "1093-6106",
publisher = "International Press of Boston, Inc.",
number = "1",
}