Variants of formal nearby cycles

DOI10.1017/S147474801300025XzbMath1311.14022arXiv1005.5616OpenAlexW3102413105MaRDI QIDQ2921049

Yoichi Mieda

Publication date: 30 September 2014

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5616

zbMATH Keywords

étale cohomologyformal geometrynearby cycle

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20) Rigid analytic geometry (14G22)

Related Items (3)

Lefschetz trace formula and \(\ell\)-adic cohomology of Rapoport-Zink tower for \(\mathrm{GSp}(4)\) ⋮ Potentially good reduction loci of Shimura varieties ⋮ \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

Cites Work

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• On compactification of schemes
• Formal and rigid geometry. I: Rigid spaces
• Vanishing cycles for formal schemes
• A generalization of formal schemes and rigid analytic varieties
• Theory of tubular neighborhood in étale topology
• Vanishing cycles for formal schemes. II
• Non-cuspidality outside the middle degree of \(\ell \)-adic cohomology of the Lubin-Tate tower
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• On $\ell$-independence for the étale cohomology of rigid spaces over local fields
• A few theorems on completion of excellent rings

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