2018/01/18 by Ning Guo, Guo, Ning
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1801.06065
13 pages
openalex publication_date 2018/01/18 · arxiv created 2019/02/15 · arxiv updated 2019/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a scheme X separated and of finite type over an excellent regular scheme S, we define wildly compatible systems of constructible sheaves of modules over finite fields on X for certain vector spaces V. The main result is that for dim S ≤ 1, wildly compatible systems are preserved by Grothendieck's six operations and Verdier's duality. Finally, for a smooth integral scheme X over a finite field, we prove that all ℓ-adic compatible systems gives wildly compatible systems.