Relative Rigid Cohomology and Deformation of Hypersurfaces

DOI10.1093/imrp/rpm003zbMath1143.14019OpenAlexW2051821883MaRDI QIDQ5443654

Ralf Gerkmann

Publication date: 22 February 2008

Published in: International Mathematics Research Papers (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4124e53349549d4a3ed24fd64d027fc5a90ca3f2

zbMATH Keywords

finite fieldszeta functionsrigid cohomologysmooth hypersurfaces

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Rigid analytic geometry (14G22)

Related Items (7)

Computing zeta functions of arithmetic schemes ⋮ Improvements to the deformation method for counting points on smooth projective hypersurfaces ⋮ Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology ⋮ An extension of Kedlaya's algorithm for hyperelliptic curves ⋮ Point Counting on Singular Hypersurfaces ⋮ Algebraic independence in positive characteristic: A $p$-adic calculus ⋮ Zeta functions of projective hypersurfaces with ordinary double points

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