2016/07/13 by Manuel Mérida-Angulo, Manuel Merida-Angulo, Merida-Angulo, Manuel +2 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1607.03814
8 pages
arxiv created 2016/07/13 · openalex publication_date 2016/07/13 · arxiv updated 2016/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide a coherent overview of a number of recent results obtained by the authors in the theory of schemes defined over the field with one element. Essentially, this theory encompasses the study of a functor which maps certain geometries including graphs to Deitmar schemes with additional structure, as such introducing a new zeta function for graphs. The functor is then used to determine automorphism groups of the Deitmar schemes and base extensions to fields.