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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5940| Title: | Differential modular forms over totally real fields of integral weights |
| Authors: | BANERJEE, DEBARGHA Saha, Arnab Dept. of Mathematics |
| Keywords: | Witt vectors p-adic Modular forms Deformation theory 2021-JUN-WEEK2 TOC-JUN-2021 2021 |
| Issue Date: | Jun-2021 |
| Publisher: | Springer Nature |
| Citation: | Research in Number Theory, 7, 42. |
| Abstract: | In 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5940 https://doi.org/10.1007/s40993-021-00269-7 |
| ISSN: | 2363-9555 |
| Appears in Collections: | JOURNAL ARTICLES |
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