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arXiv · 1005.5616

Variants of formal nearby cycles

Yoichi Mieda
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Abstract

In this paper, we introduce variants of formal nearby cycles for a locally noetherian formal scheme over a complete discrete valuation ring. If the formal scheme is locally algebraizable, then our nearby cycle gives a generalization of Berkovich's formal nearby cycle. Our construction is entirely scheme-theoretic and does not require rigid geometry. Our theory is intended for applications to the local study of the cohomology of Rapoport-Zink spaces.

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Yoichi Mieda. 2010-05-31. Variants of formal nearby cycles. https://doi.org/10.1017/s147474801300025x

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