Differential modular forms on Shimura curves over totally real fields

dc.contributor.author	BANERJEE, DEBARGHA	en_US
dc.date.accessioned	2019-02-25T09:04:44Z
dc.date.available	2019-02-25T09:04:44Z
dc.date.issued	2014-02	en_US
dc.identifier.citation	Journal of Number Theory 135, 353-373.	en_US
dc.identifier.issn	0022-314X	en_US
dc.identifier.issn	1096-1658	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2077
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2013.08.019	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Primary	en_US
dc.subject	13F35	en_US
dc.subject	Secondary	en_US
dc.subject	11F32	en_US
dc.subject	11F41	en_US
dc.subject	14D15	en_US
dc.subject	Witt vectorsp-Adic	en_US
dc.subject	Modular forms	en_US
dc.subject	Deformation theory	en_US
dc.subject	2014	en_US
dc.title	Differential modular forms on Shimura curves over totally real fields	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Number Theory 135	en_US
dc.publication.originofpublisher	Foreign	en_US