Rings of Modular Forms on Eichler’s Problem

DOI10.1017/S0027763000021474zbMath0558.10024MaRDI QIDQ3222928

Shigeaki Tsuyumine

Publication date: 1985

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Siegel modular formsCohen-MacaulayHilbert modular groupring of Hilbert modular formsrings of modular forms

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Theta series; Weil representation; theta correspondences (11F27) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• On the Kodaira dimensions of Hilbert modular varieties
• Hilbert functions of graded algebras
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Lokale und globale Invarianten der Hilbertschen Modulgruppe
• Toward a numerical theory of ampleness
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• On discontinuous groups operating on the product of the upper half planes
• A Formula for the Dimension of Spaces of Siegel Cusp Forms of Degree Three
• Invariants of finite groups and their applications to combinatorics
• On Siegel Modular Forms of Degree Two
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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