Quasicoherent sheaves for dagger analytic geometry
Algebraic Geometry
2025-02-20 v3 Number Theory
Abstract
We develop a theory of quasicoherent sheaves on dagger analytic varieties based on Ind-Banach spaces. We show that they satisfy descent in the analytic topology. We define compactly supported pushforwards and produce an adjunction , and produce an excision sequence for certain inclusions of admissible open subsets. Finally, we prove a Grothendieck duality theorem.
Cite
@article{arxiv.2311.03101,
title = {Quasicoherent sheaves for dagger analytic geometry},
author = {Arun Soor},
journal= {arXiv preprint arXiv:2311.03101},
year = {2025}
}
Comments
39 pages; revised based on anonymous referee's comments