A Formula for the Dimension of Spaces of Siegel Cusp Forms of Degree Three

DOI10.2307/2374198zbMath0458.10024OpenAlexW2323859533MaRDI QIDQ3907641

Ryuji Tsushima

Publication date: 1980

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195517115

zbMATH Keywords

dimension formulaRiemann-Roch-Hirzebruch formulaspaces of Siegel cusp forms of degree three

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46)

Related Items (11)

The dimensions of spaces of Siegel cusp forms of general degree ⋮ REPRESENTATIONS OF FINITE GROUPS AND HILBERT MODULAR FORMS ⋮ Rings of Modular Forms on Eichler’s Problem ⋮ Spezielle Konjugationsklassen der Modulgruppe vierten Grades und Stufe \(q>2\). (Special conjugacy classes of the modular group of degree 4 and level \(>2)\) ⋮ Zur Berechnung des Ranges der Schar der elliptischen Spitzenformen. (On the calculation of the dimension of the vector space of elliptic cusp forms) ⋮ Siegel cusp forms as holomorphic differential forms on certain compact varieties ⋮ On the cone of effective surfaces on $\overline{\mathcal A}_3$ ⋮ Some intersection numbers of divisors on toroidal compactifications of 𝒜_{ℊ} ⋮ Siegel Modular Forms and Their Applications ⋮ An explicit dimension formula for the spaces of generalized automorphic forms with respect to \(\mathrm{Sp}(2, \mathbb Z)\) ⋮ Unnamed Item

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