Arithmetic differential equations in several variables

DOI10.5802/aif.2504zbMath1198.12003OpenAlexW2487498822MaRDI QIDQ962059

Santiago R. Simanca, Alexandru Buium

Publication date: 6 April 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_7_2685_0/

zbMATH Keywords

elliptic curvesmodular formsp-adic numbersarithmetic differential equations

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Nonlinear higher-order PDEs (35G20) Local ground fields in algebraic geometry (14G20) Abstract differential equations (12H20) Elliptic curves over local fields (11G07)

Cites Work

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• Plethystic algebra
• The basic geometry of Witt vectors. I: The affine case
• Arithmetic Laplacians
• Arithmetic partial differential equations. I
• Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results
• Courbes sur une variété abélienne et points de torsion
• Local \(L\)-factors of motives and regularized determinants
• Differential characters of abelian varieties over \(p\)-adic fields
• Geometry of \(p\)-jets
• Intersections in jet spaces and a conjecture of S. Lang
• Schemata over local rings
• Arithmetic partial differential equations. II
• Cyclotomy and analytic geometry over F_1
• La théorie des classes de Chern
• Lambda-rings, binomial domains, and vector bundles over cp(∞)
• An Introduction to "G"-Functions. (AM-133)
• Differential modular forms
• Algebraic curves over fields with differentiation
• Quantum calculus

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