Deitmar schemes, graphs and zeta functions

DOI10.1016/j.geomphys.2017.01.027zbMath1401.14010arXiv1505.02081OpenAlexW2963909983MaRDI QIDQ2628392

Manuel Mérida-Angulo, Koen Thas

Publication date: 1 June 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02081

zbMATH Keywords

zeta functionIhara zeta functionfield with one elementloose graphDeitmar scheme

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Schemes and morphisms (14A15)

Related Items (2)

The topological shadow of \(\mathbb{F}_1\)-geometry: congruence spaces ⋮ Automorphisms of Deitmar constructible sets. I: Functoriality and trees

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projective geometry for blueprints
• Toric varieties, monoid schemes and cdh descent
• An introduction to motivic Hall algebras
• Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\)
• Zeta functions over \(\mathbb F_1\)
• \(\mathbb F_1\)-schemes and toric varieties
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• On the \(\Gamma\)-factors attached to motives
• Local \(L\)-factors of motives and regularized determinants
• The structure of Deitmar schemes. I.
• The Weyl functor. Introduction to Absolute Arithmetic
• The combinatorial-motivic nature of $\mathbb F_1$-schemes
• A blueprinted view on $\mathbb F_1$-geometry
• Mapping F_1-land:An overview of geometries over the field with one element
• Toric Singularities
• Schemes over $$ \mathbb{F}_1 $$
• Absolute Arithmetic and $\mathbb F_1$-Geometry

This page was built for publication: Deitmar schemes, graphs and zeta functions