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- W2950282547 abstract "H. Aoki showed that any symmetric formal Fourier-Jacobi series for the symplectic group Sp_2(Z) is the Fourier-Jacobi expansion of a holomorphic Siegel modular form. We prove an analogous result for vector valued symmetric formal Fourier-Jacobi series, by combining Aoki's theorem with facts about vector valued modular forms. Recently, this result was also proved independently by M. Raum using a different approach. As an application, by means of work of W. Zhang, modularity results for special cycles of codimension 2 on Shimura varieties associated to orthogonal groups can be derived." @default.
- W2950282547 created "2019-06-27" @default.
- W2950282547 creator A5090848895 @default.
- W2950282547 date "2013-03-15" @default.
- W2950282547 modified "2023-10-01" @default.
- W2950282547 title "Vector valued formal Fourier-Jacobi series" @default.
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