Work

Trace maps on rigid Stein spaces

Year: 2024

Type: article

Abstract: We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite étale morphism $$ X \rightarrow Y$$ X → Y of smooth rigid Stein spaces and which then relates the Serre duality on X with the Serre duality on Y. 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.

Source: manuscripta mathematica

DOI: 10.1007/s00229-024-01590-y

Author: Milan Malčić

Institution: Heidelberg University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Deutsche Forschungsgemeinschaft