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  Differential modular forms over totally real fields of integral weights

Banerjee, D., & Saha, A. (2021). Differential modular forms over totally real fields of integral weights. Research in Number Theory, 7(3): 42. doi:10.1007/s40993-021-00269-7.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-C388-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F778-6
Genre: Journal Article

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1806.00191.pdf (Preprint), 268KB
 
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https://doi.org/10.1007/s40993-021-00269-7 (Publisher version)
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https://doi.org/10.48550/arXiv.1806.00191 (Preprint)
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Preprint title: Differential modular forms over totally real fields of non zero integral weights
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 Creators:
Banerjee, Debargha, Author
Saha, Arnab1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Published online
 Pages: 19
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1806.00191
DOI: 10.1007/s40993-021-00269-7
 Degree: -

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Title: Research in Number Theory
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 7 (3) Sequence Number: 42 Start / End Page: - Identifier: -