Differential overconvergence
Volume 94 / 2011
Banach Center Publications 94 (2011), 99-129
MSC: Primary 11F32; Secondary 11F85, 11G18.
DOI: 10.4064/bc94-0-5
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.
