Category of mixed plectic hodge structures

Kenichi Bannai, Kei Hagihara, Shinichi Kobayashi, Kazuki Yamada, Shuji Yamamoto, And Seidai Yasuda

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)31-76
Number of pages46
JournalAsian Journal of Mathematics
Volume24
Issue number1
DOIs
Publication statusPublished - 2020

Keywords

  • Mixed hodge structures
  • Plectic structures

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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