English

Extensions of filtered Ogus structures

K-Theory and Homology 2024-08-08 v1

Abstract

We compute the Ext group of the (filtered) Ogus category over a number field KK. In particular we prove that the filtered Ogus realisation of mixed motives is not fully faithful.

Cite

@article{arxiv.1912.08091,
  title  = {Extensions of filtered Ogus structures},
  author = {Bruno Chiarellotto and Nicola Mazzari},
  journal= {arXiv preprint arXiv:1912.08091},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:1808.03146

R2 v1 2026-06-23T12:48:37.232Z