Logarithmic adic spaces: some foundational results
Algebraic Geometry
2022-11-01 v2 Number Theory
Abstract
We develop a theory of log adic spaces by combining the theories of adic spaces and log schemes, and study the Kummer \'etale and pro-Kummer \'etale 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.
Cite
@article{arxiv.1912.09836,
title = {Logarithmic adic spaces: some foundational results},
author = {Hansheng Diao and Kai-Wen Lan and Ruochuan Liu and Xinwen Zhu},
journal= {arXiv preprint arXiv:1912.09836},
year = {2022}
}
Comments
100 pages. Final version. To appear in Proceedings of the Simons Symposia