Kudla's modularity conjecture and formal Fourier-Jacobi series
Journal article, 2015

We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They are formal analogs of Fourier–Jacobi expansions of Siegel modular forms. From our result and a theorem of Wei Zhang, we deduce Kudla’s conjecture on the modularity of generating series of special cycles of arbitrary codimension and for all orthogonal Shimura varieties.


Jan Hendrik Bruinier

Technische Universität Darmstadt

Martin Raum

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Forum of Mathematics, Pi

2050-5086 (eISSN)

Vol. 3 30- e7

Subject Categories





More information

Latest update

8/8/2023 6