Vector valued formal Fourier-Jacobi series

DOI10.1090/S0002-9939-2014-12272-6zbMath1306.11039arXiv1303.3699MaRDI QIDQ5496294

Jan Hendrik Bruinier

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3699

zbMATH Keywords

Siegel modular formsformal Fourier-Jacobi expansionsspecial cycles of codimension 2

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Jacobi forms (11F50)

Related Items (2)

KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES ⋮ Some cases of Kudla’s modularity conjecture for unitary Shimura varieties

Cites Work

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• The theory of Jacobi forms
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• Jacobi forms that characterize paramodular forms
• The Gross-Kohnen-Zagier theorem in higher dimensions
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• Formal Fourier Jacobi expansions and special cycles of codimension two
• Quantum Black Holes
• Fixpunktmannigfaltigkeiten symplektischer Matrizen
• Estimating Siegel modular forms of genus 2 using Jacobi forms

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