Proper pushforwards on analytic adic spaces
Algebraic Geometry
2022-08-23 v2 Number Theory
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 which are smooth and partially proper in the sense of Kiehl, we furthermore construct the trace map and duality pairing.
Cite
@article{arxiv.2009.05433,
title = {Proper pushforwards on analytic adic spaces},
author = {Tomoyuki Abe and Christopher Lazda},
journal= {arXiv preprint arXiv:2009.05433},
year = {2022}
}
Comments
32 pages, weaker main results than previous version