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arXiv · 1705.05522

Category of mixed plectic Hodge structures

Kenichi Bannai·Kei Hagihara·Shinichi Kobayashi·Kazuki Yamada·Shuji Yamamoto·Seidai Yasuda
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Abstract

The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekov\'a\v{r} and Scholl. 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.

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Kenichi Bannai, Kei Hagihara, Shinichi Kobayashi, Kazuki Yamada, Shuji Yamamoto, Seidai Yasuda. 2017-05-16. Category of mixed plectic Hodge structures. https://doi.org/10.4310/ajm.2020.v24.n1.a2

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