Asian Journal of Mathematics
Volume 24 (2020)
Category of mixed plectic Hodge structures
Pages: 31 – 76
The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekovář 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.
mixed Hodge structures, plectic structures
2010 Mathematics Subject Classification
Research for this paper was conducted as part of the KiPAS program FY2014–2018 of the Faculty of Science and Technology at Keio University, and was supported in part by KAKENHI 26247004, 16J01911, 16K13742, and 18H05233, as well as by the JSPS Core-to-Core program “Foundation of a Global Research Cooperative Center in Mathematics focused on Number Theory and Geometry”.
Received 14 June 2017
Accepted 11 April 2019
Published 21 August 2020