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arXiv · 1912.09836

Logarithmic adic spaces: some foundational results

Hansheng Diao·Kai-Wen Lan·Ruochuan Liu·Xinwen Zhu
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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.

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Hansheng Diao, Kai-Wen Lan, Ruochuan Liu, Xinwen Zhu. 2019-12-19. Logarithmic adic spaces: some foundational results. https://arxiv.org/abs/1912.09836

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