Degenerations and limit Frobenius structures in rigid cohomology

DOI10.1112/S1461157009000588zbMath1312.11054arXiv0912.5185OpenAlexW3099637078MaRDI QIDQ3092470

Alan G. B. Lauder

Publication date: 16 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5185

zbMATH Keywords

rigid cohomologyprojective varieties\(p\)-adic liftingClemens-Schmidt exact sequence

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Fibrations, degenerations in algebraic geometry (14D06) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Varieties over finite and local fields (11G25)

Related Items

Improvements to the deformation method for counting points on smooth projective hypersurfaces ⋮ Clemens-Schmid exact sequence in characteristic \(p\)

Cites Work

• Semistable reduction for overconvergent \(F\)-isocrystals on a curve
• On the differentiation of De Rham cohomology classes with respect to parameters
• A Recursive Method for Computing Zeta Functions of Varieties
• Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve
• An Introduction to "G"-Functions. (AM-133)
• Classes de Chern et classes de cycles en cohomologie rigide
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