Differential overconvergence

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 -