Category of mixed plectic Hodge structures

Bibliographic Details
Title: Category of mixed plectic Hodge structures
Authors: Bannai, Kenichi, Hagihara, Kei, Kobayashi, Shinichi, Yamada, Kazuki, Yamamoto, Shuji, Yasuda, Seidai
Source: Asian J. Math. 24 (2020), no. 1, 31-76
Publication Year: 2017
Collection: Mathematics
Subject Terms: Mathematics - Algebraic Geometry, 14C30
More Details: 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.
Comment: 43 pages, Corrected calculation in Example 5.28
Document Type: Working Paper
DOI: 10.4310/AJM.2020.v24.n1.a2
Access URL: http://arxiv.org/abs/1705.05522
Accession Number: edsarx.1705.05522
Database: arXiv
More Details
DOI:10.4310/AJM.2020.v24.n1.a2