English

On the universal extensions in Tannakian categories

Algebraic Geometry 2023-07-25 v3 Number Theory

Abstract

We use the notion of universal extension in a linear abelian category to study extensions of variations of mixed Hodge structure and convergent and overconvergent isocrystals. The results we obtain apply, for example, to prove the exactness of some homotopy sequences for these categories and to study FF-able isocrystals.

Keywords

Cite

@article{arxiv.2009.14170,
  title  = {On the universal extensions in Tannakian categories},
  author = {Marco D'Addezio and Hélène Esnault},
  journal= {arXiv preprint arXiv:2009.14170},
  year   = {2023}
}

Comments

19 pages; added reference to [And20]

R2 v1 2026-06-23T18:53:12.002Z