Trace Maps on Rigid Stein Spaces
Algebraic Geometry
2025-06-10 v2 Number Theory
Abstract
We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite tale morphism of smooth rigid Stein spaces and which then relates the Serre duality on with the Serre duality on . Furthermore, we consider the behaviour of any rigid Stein space under (completed) base change to any complete extension field and deduce a commutative diagram relating Serre duality over the base field with the Serre duality over the extension field.
Keywords
Cite
@article{arxiv.2309.14542,
title = {Trace Maps on Rigid Stein Spaces},
author = {Milan Malčić},
journal= {arXiv preprint arXiv:2309.14542},
year = {2025}
}
Comments
32 pages; Content corresponds to the version published in manuscripta mathematica (2024), with minor edits made following peer review