A characterization of finite étale morphisms in tensor triangular geometry
arXiv:2106.14066 · doi:10.46298/epiga.2022.volume6.7641
Abstract
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).
arXiv comment25 pages. Proposition 3.8 revised; added Remark 3.11--Example 3.12, Remark 4.10--Remark 4.25, and Corollary 5.13
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