Mixed objects are embedded into log pure objects
Algebraic Geometry
2022-12-22 v1
Abstract
We prove that a variation of mixed Hodge structure is embedded in a logarithmic variation of pure Hodge structure, and a generalized version of this result. These results suggest some simple construction of the category of mixed motives by using log pure motives.
Keywords
Cite
@article{arxiv.2212.10970,
title = {Mixed objects are embedded into log pure objects},
author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
journal= {arXiv preprint arXiv:2212.10970},
year = {2022}
}