scientific article

zbMath1214.14007arXivmath/0601508MaRDI QIDQ3000304

Kiran S. Kedlaya, David Roe, Timothy G. Abbott

Publication date: 18 May 2011

Full work available at URL: https://arxiv.org/abs/math/0601508

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

de Rham cohomologyPicard number\(p\)-adic cohomologycoding theorysurfaces over finite fields

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) de Rham cohomology and algebraic geometry (14F40) Picard groups (14C22) (p)-adic cohomology, crystalline cohomology (14F30) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (9)

Some non-special cubic fourfolds ⋮ 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 ⋮ Point Counting on Singular Hypersurfaces ⋮ 𝑝-adic point counting on singular superelliptic curves ⋮ Arithmetic of K3 Surfaces ⋮ On reconstructing subvarieties from their periods ⋮ Fast arithmetic in unramified \(p\)-adic fields ⋮ A Numerical Transcendental Method in Algebraic Geometry: Computation of Picard Groups and Related Invariants

Uses Software

• Magma

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