A characterization of finite \'etale morphisms in tensor triangular geometry

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).

Keywords

• mathematics - category theory
• mathematics - algebraic geometry
• mathematics - algebraic topology