English

Motivic Hodge modules

Algebraic Geometry 2018-01-31 v1

Abstract

We construct a quasi-categorically enhanced Grothendieck six-functor formalism on schemes of finite type over the complex numbers. In addition to satisfying many of the same properties as M. Saito's derived categories of mixed Hodge modules, this new six-functor formalism receives canonical motivic realization functors compatible with Grothendieck's six functors on constructible objects.

Keywords

Cite

@article{arxiv.1801.10129,
  title  = {Motivic Hodge modules},
  author = {Brad Drew},
  journal= {arXiv preprint arXiv:1801.10129},
  year   = {2018}
}

Comments

61 pages; comments welcome!

R2 v1 2026-06-23T00:04:24.848Z