Differential forms on arithmetic jet spaces

DOI10.1007/s00029-010-0054-7zbMath1250.11060arXiv0908.2512OpenAlexW2008831225MaRDI QIDQ427712

Alexandru Buium, James M. Borger

Publication date: 14 June 2012

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2512

zbMATH Keywords

de Rham cohomologyjet spaces

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Elliptic curves over local fields (11G07)

Related Items (3)

Curvature on the integers. I. ⋮ Curvature on the integers. II. ⋮ Numbers as functions

Cites Work

• Plethystic algebra
• The basic geometry of Witt vectors. I: The affine case
• The basic geometry of Witt vectors. II: Spaces
• Arithmetic Laplacians
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• One-parametric \(p\)-adic subgroups of a group variety
• Differential characters of abelian varieties over \(p\)-adic fields
• Formal functions and formal embeddings
• Differential characters and characteristic polynomial of Frobenius.
• Development of the notion of set and of the axioms for sets
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