Differential overconvergence

Buium, Alexandru; Saha, A.

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Differential overconvergence

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Buium, Alexandru
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.4064/bc94-0-5
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arXiv:1104.0120.pdf
(Preprint), 389KB

Buium-Saha_Differential overconvergence_2011.pdf
(Publisher version), 325KB

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Citation

Buium, A., & Saha, A. (2011). Differential overconvergence. In Algebraic methods in dynamical systems (pp. 99-129). Warszawa: Inst. of Math., Polish Acad. of Sciences.

Cite as: https://hdl.handle.net/21.11116/0000-0004-DD06-D

Abstract

We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property. One can also go in the opposite direction by using differential functions that arise in a ramified situation to construct "new" (unramified) differential functions.