Work

Proper pushforwards on analytic adic spaces

Year: 2024

Type: article

Abstract: ABSTRACT We construct proper pushforwards for partially proper morphisms of analytic adic spaces. This generalises the theory due to van der Put in the case of rigid analytic varieties over a non-Archimedean field. For morphisms that are smooth and partially proper in the sense of Kiehl, we furthermore construct the trace map and duality pairing.

Source: The Quarterly Journal of Mathematics

DOI: 10.1093/qmath/haae066

Authors: Tomoyuki Abe, Christopher Lazda

Institutions: Kavli Institute for the Physics and Mathematics of the Universe, University of Exeter, The University of Tokyo

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,184

Funder: Japan Society for the Promotion of Science