A characterization of finite \'etale morphisms in tensor triangular geometry
Category Theory
2025-10-22 v2 Algebraic Geometry
Algebraic Topology
Abstract
We provide a characterization of finite \'etale 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).
Cite
@article{arxiv.2106.14066,
title = {A characterization of finite \'etale morphisms in tensor triangular geometry},
author = {Beren Sanders},
journal= {arXiv preprint arXiv:2106.14066},
year = {2025}
}
Comments
25 pages. Proposition 3.8 revised; added Remark 3.11--Example 3.12, Remark 4.10--Remark 4.25, and Corollary 5.13