Logarithmic adic spaces: some foundational results

Abstract

We develop a theory of log adic spaces by combining the theories of adic spaces and log schemes, and study the Kummer étale and pro-Kummer étale topology for such spaces. We also establish the primitive comparison theorem in this context, and deduce from it some related cohomological finiteness or vanishing results.

100 pages. Final version. To appear in Proceedings of the Simons Symposia

Cited by in corpus (6)

• Hodge-Iwasawa Theory I
• De Rham comparison and Poincaré duality for rigid varieties
• Essential dimension via prismatic cohomology
• On extension of overconvergent log isocrystals on log smooth varieties
• Category and Cohomology of Hodge-Iwasawa Modules
• Perfectoidness via Sen Theory and Applications to Shimura Varieties