Differential overconvergence

• Autorzy: Alexandru Buium , Arnab Saha
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11F32: Modular correspondences, etc.
• 11G18: Arithmetic aspects of modular and Shimura varieties
• 11F85: p -adic theory, local fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 94
• Numer: 1
• Strony: 99-129

Daty

wydano

2011

Twórcy

autor

Alexandru Buium

• Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA

autor

Arnab Saha

• Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA

Identyfikatory

DOI

10.4064/bc94-0-5