English

Category of mixed plectic Hodge structures

Algebraic Geometry 2020-10-30 v2

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.

Keywords

Cite

@article{arxiv.1705.05522,
  title  = {Category of mixed plectic Hodge structures},
  author = {Kenichi Bannai and Kei Hagihara and Shinichi Kobayashi and Kazuki Yamada and Shuji Yamamoto and Seidai Yasuda},
  journal= {arXiv preprint arXiv:1705.05522},
  year   = {2020}
}

Comments

43 pages, Corrected calculation in Example 5.28