Proper pushforwards on analytic adic spaces

Kavli Affiliate: Tomoyuki Abe

| First 5 Authors: Tomoyuki Abe, Christopher Lazda, , ,

| Summary:

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.

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