## 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 geometry

Authors: Beren Sanders

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).

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