Proper pushforwards on analytic adic spaces
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.
Authors
- Christopher Lazda (ORCID: https://orcid.org/0000-0002-6659-015X)
- T. Abe (ORCID: https://orcid.org/0000-0002-5228-0943)
Institutions
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
- University of Exeter (GB)
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
- The University of Tokyo (JP)
Publication Details
- Journal
- The Quarterly Journal of Mathematics
- Published
- 2024-12-19
- DOI
- https://doi.org/10.1093/qmath/haae066
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science