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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2077| Title: | Differential modular forms on Shimura curves over totally real fields |
| Authors: | BANERJEE, DEBARGHA Dept. of Mathematics |
| Keywords: | Primary 13F35 Secondary 11F32 11F41 14D15 Witt vectorsp-Adic Modular forms Deformation theory 2014 |
| Issue Date: | Feb-2014 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Number Theory 135, 353-373. |
| Abstract: | We study the theory of differential modular forms for compact Shimura curves over totally real fields and construct differential modular forms, which are generalizations of the fundamental differential modular forms. We also construct the Serre–Tate expansions of such differential modular forms as a possible alternative to the Fourier expansion maps and calculate the Serre–Tate expansions of some of these differential modular forms. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2077 https://doi.org/10.1016/j.jnt.2013.08.019 |
| ISSN: | 0022-314X 1096-1658 |
| Appears in Collections: | JOURNAL ARTICLES |
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