Banerjee, DebarghaDebarghaBanerjeeSaha, ArnabArnabSaha2025-08-312025-08-312021-09-0110.1007/s40993-021-00269-72-s2.0-85107558526http://repository.iitgn.ac.in/handle/IITG2025/25311In this article, we construct a differential modular form of non-zero order and integral weight for compact Shimura curves over totally real fields bigger than Q. The construction uses the theory of lifting ordinary mod p Hilbert modular forms to characteristic 0 as well as the theory of Igusa curve. This is the analogue of the construction of Buium in the case of modular curves parametrizing elliptic curves with level structures.falseDeformation theory | p-adic Modular forms | Witt vectorsDifferential modular forms over totally real fields of integral weightsArticle23639555September 2021042arJournal0