Variants of formal nearby cycles
Algebraic Geometry
2019-02-20 v2
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.
Keywords
Cite
@article{arxiv.1005.5616,
title = {Variants of formal nearby cycles},
author = {Yoichi Mieda},
journal= {arXiv preprint arXiv:1005.5616},
year = {2019}
}
Comments
38 pages