Beren Sanders - A characterization of finite étale morphisms in tensor triangular geometry

epiga:7641 - Épijournal de Géométrie Algébrique, October 21, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.volume6.7641
A characterization of finite étale morphisms in tensor triangular geometryArticle

Authors: Beren Sanders ORCID

We provide a characterization of finite étale morphisms in tensor triangular geometry. They are precisely those functors which have a conservative right adjoint, satisfy Grothendieck--Neeman duality, and for which the relative dualizing object is trivial (via a canonically-defined map).

Comment: 25 pages. Proposition 3.8 revised; added Remark 3.11--Example 3.12, Remark 4.10--Remark 4.25, and Corollary 5.13

https://doi.org/10.46298/epiga.2022.volume6.7641
Source: arXiv.org:2106.14066
Volume: Volume 6
Published on: October 21, 2022
Accepted on: October 21, 2022
Submitted on: July 1, 2021
Keywords: Mathematics - Category Theory, Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology
Licence: Attribution-Non Commercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Funding:
    Source : OpenAIRE Graph
  • Categorical Methods for Classical, Equivariant, and Motivic Homotopy Theory; Funder: National Science Foundation; Code: 1903429

3 Documents citing this article

Share and export

Consultation statistics

This page has been seen 752 times.
This article's PDF has been downloaded 1460 times.