A characterization of finite étale morphisms in tensor triangular geometry

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).

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

References in corpus (3)

• The Wirthmuller isomorphism revisited
• On equivariant topological modular forms
• Stratification in tensor triangular geometry with applications to spectral Mackey functors

Cited by in corpus (1)

• Separable commutative algebras and Galois theory in stable homotopy theories