The structure of Drinfeld modular forms of level Γ0(T) and applications

Kumar, Narasimha (2023) The structure of Drinfeld modular forms of level Γ0(T) and applications. Journal of Algebra, 619. pp. 778-798. ISSN 0021-8693

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Abstract

In this article, for any ring R with A⊆R⊆C, we describe the structure of the R-algebra of Drinfeld modular forms M(Γ0(T))R (resp., M0(Γ0(T))R, the ring of Drinfeld modular forms of type zero) of level Γ0(T) and the structure of mod-p reduction of Mp0(Γ0(T)) for p≠(T). As a result, we are able to study the properties of the weight filtration for Mk,l(Γ0(T)). Finally, we prove a result on mod-p congruences for Drinfeld modular forms of level Γ0(pT) for p≠(T).

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IITH Creators:	IITH Creators ORCiD Kumar, Narasimha http://www.orcid.org/0000-0002-6754-338X
Item Type:	Article
Uncontrolled Keywords:	Drinfeld modular forms; Graded algebra structure; Isobaric polynomials; Mod-p congruences; Weight filtration;
Subjects:	Mathematics Mathematics > Algebra
Divisions:	Department of Mathematics
Depositing User:	Mr Nigam Prasad Bisoyi
Date Deposited:	10 Sep 2023 07:50
Last Modified:	10 Sep 2023 07:50
URI:	http://raiithold.iith.ac.in/id/eprint/11661
Publisher URL:	https://doi.org/10.1016/j.jalgebra.2022.11.027
Related URLs:	Author

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