Differential overconvergence

Alexandru Buium; Arnab Saha

Banach Center Publications (2011)

  • Volume: 94, Issue: 1, page 99-129
  • ISSN: 0137-6934

Abstract

top
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.

How to cite

top

Alexandru Buium, and Arnab Saha. "Differential overconvergence." Banach Center Publications 94.1 (2011): 99-129. <http://eudml.org/doc/281758>.

@article{AlexandruBuium2011,
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.},
author = {Alexandru Buium, Arnab Saha},
journal = {Banach Center Publications},
keywords = {arithmetic differential equations; modular forms; overconvergence},
language = {eng},
number = {1},
pages = {99-129},
title = {Differential overconvergence},
url = {http://eudml.org/doc/281758},
volume = {94},
year = {2011},
}

TY - JOUR
AU - Alexandru Buium
AU - Arnab Saha
TI - Differential overconvergence
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 99
EP - 129
AB - 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.
LA - eng
KW - arithmetic differential equations; modular forms; overconvergence
UR - http://eudml.org/doc/281758
ER -

NotesEmbed ?

top

You must be logged in to post comments.