Differential modular forms over totally real fields of integral weights

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dc.contributor.author Banerjee, Debargha
dc.contributor.author Saha, Arnab
dc.coverage.spatial Switzerland
dc.date.accessioned 2012-09-26T07:22:29Z
dc.date.available 2012-09-26T07:22:29Z
dc.date.issued 2021-09
dc.identifier.citation Banerjee, Debargha and Saha, Arnab, "Differential modular forms over totally real fields of integral weights", Research in Number Theory, DOI: 10.1007/s40993-021-00269-7, vol. 7, no. 3, Sep. 2021. en_US
dc.identifier.issn 0035-8711
dc.identifier.issn 1365-2966
dc.identifier.uri https://doi.org/10.1007/s40993-021-00269-7
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/6609
dc.description.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.
dc.description.statementofresponsibility by Debargha Banerjee and Arnab Saha
dc.format.extent vol. 7, no. 3
dc.language.iso en_US en_US
dc.publisher Springer Nature en_US
dc.subject Witt vectors en_US
dc.subject p-adic Modular forms en_US
dc.subject Deformation theory en_US
dc.subject 13F35 en_US
dc.subject 11F32 en_US
dc.subject 11F41 en_US
dc.subject 14D15 en_US
dc.title Differential modular forms over totally real fields of integral weights en_US
dc.type Article en_US
dc.relation.journal Research in Number Theory

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