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.
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 -