@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: ∗Received June 14, 2017; accepted for publication April 11, 2019. This research was conducted as part of the KiPAS program FY2014–2018 of the Faculty of Science and Technology at Keio University. This research was supported in part by KAKENHI 26247004, 16J01911, 16K13742, 18H05233 as well as the JSPS Core-to-Core program “Foundation of a Global Research Cooperative Center in Mathematics focused on Number Theory and Geometry”. †Keio Institute of Pure and Applied Sciences (KiPAS), Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8522, Japan. ‡Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8522, Japan. §Mathematical Science Team, RIKEN Center for Advanced Intelligence Project (AIP), 1-4-1 Nihonbashi, Chuo-ku, Tokyo 103-0027, Japan. ¶Faculty of Mathematics, Kyushu University 744, Motooka, Nishi-Ku, Fukuoka 819-0395, Japan. ‖Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan. ∗∗Email: bannai@math.keio.ac.jp 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. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
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",
}