English

Hodge structures through an \'etale motivic point of view

Algebraic Geometry 2024-01-30 v3

Abstract

We define the category of \'etale Chow motives as the \'etale analogue of Grothendieck motives and proved that it embeds in DMeˊt(k)\text{DM}_{\text{\'et}}(k). This construction provides a characterization of the generalized Hodge conjecture in terms of an \'etale analogue of it.

Keywords

Cite

@article{arxiv.2212.02128,
  title  = {Hodge structures through an \'etale motivic point of view},
  author = {Ivan Rosas Soto},
  journal= {arXiv preprint arXiv:2212.02128},
  year   = {2024}
}