2026/01/28 by Dingxin Zhang, D Y Zhang
Mathematics · #Advanced Algebra and Geometry #Affine transformation #Algebra over a field #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Hypersurface #Riemann hypothesis #Type (biology)
paper · pdf · doi:10.1093/imrn/rnag156
openalex publication_date 2026/07/01 · openalex created_date 2026/07/10 · openalex updated_date 2026/07/28
Abstract We give yet another proof of the Riemann hypothesis for smooth proper varieties over a finite field, by reducing to the case of a hypersurface [8] via deformation. The main tool is Artin’s vanishing theorem together with a few basic facts about perverse sheaves.