Exponential sums and rigid cohomology

DOI10.1016/j.ffa.2022.102031zbMath1496.11138arXiv2110.08694OpenAlexW4221021080WikidataQ115575247 ScholiaQ115575247MaRDI QIDQ2135567

Peigen Li

Publication date: 9 May 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08694

zbMATH Keywords

exponential sumsrigid cohomologyDwork cohomology

Mathematics Subject Classification ID

Exponential sums (11T23) Trigonometric and exponential sums (general theory) (11L03) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (1)

\(p\)-adic GKZ hypergeometric complex

Cites Work

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• Exponential sums and Newton polyhedra: cohomology and estimates
• \(L\)-functions associated to overconvergent \(F\)-isocrystals
• Finiteness and cohomological purity in rigid cohomology (with an appendix by Aise Johan de Jong)
• On the Gysin isomorphism of rigid cohomology
• On the zeta function of a hypersurface. I
• Annulation et pureté des groupes de cohomologie rigide associés à des sommes exponentielles

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