\(\mathbb{F}_{1}\) for everyone

DOI10.1365/s13291-018-0177-xzbMath1430.14005arXiv1801.05337OpenAlexW2791353971MaRDI QIDQ1647766

Oliver Lorscheid

Publication date: 26 June 2018

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05337

zbMATH Keywords

zeta functionRiemann hypothesistropical geometryfield with one elementmonoid schemesblue schemesblueprints

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over finite and local fields (11G25) Schemes and morphisms (14A15) Arithmetic aspects of tropical varieties (14T25) Geometry over the field with one element (14A23)

Related Items (9)

Towards the horizons of Tits's vision: on band schemes, crowds and \(\mathbb{F}_1\)-structures ⋮ Can We Dream of a 1-Adic Langlands Correspondence? ⋮ Combinatorics of Euclidean spaces over finite fields ⋮ Hall Lie algebras of toric monoid schemes ⋮ Lift of fractional D-brane charge to equivariant Cohomotopy theory ⋮ Growth and expansion in algebraic groups over finite fields ⋮ Hilbert-Kunz multiplicity of binoids ⋮ Split Grothendieck rings of rooted trees and skew shapes via monoid representations ⋮ Some remarks on blueprints and \(\mathbb{F}_1\)-schemes

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