Ihara-type results for Siegel modular forms

DOI10.1007/s41980-019-00285-5zbMath1459.11122OpenAlexW3009005232MaRDI QIDQ779717

Arash Rastegar

Publication date: 14 July 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00285-5

zbMATH Keywords

Siegel modular formsAtkin-Lehner correspondencesIhara-type resultSiegel moduli spaces

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) (p)-adic theory, local fields (11F85) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10)

Cites Work

• Non-optimal levels of \(\text{mod }l\) modular representations
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli
• Local newforms for \(\text{GSp}(4)\)
• Hecke operators on \(\Gamma_0(m)\)
• An arithmetic theory of Jacobi forms in higher dimensions.
• ON MODULAR CORRESPONDENCES FOR SP(N, Z ) AND THEIR CONGRUENCE RELATIONS
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