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Formal Fourier Jacobi expansions and special cycles of codimension two

Published online by Cambridge University Press:  06 August 2015

Martin Westerholt-Raum*
Affiliation:
Max Planck Institute for Mathematics, Vivatsgasse 7, D-53111, Bonn, Germany email [email protected]
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Abstract

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We prove that formal Fourier Jacobi expansions of degree two are Siegel modular forms. As a corollary, we deduce modularity of the generating function of special cycles of codimension two, which were defined by Kudla. A second application is the proof of termination of an algorithm to compute Fourier expansions of arbitrary Siegel modular forms of degree two. Combining both results enables us to determine relations of special cycles in the second Chow group.

Type
Research Article
Copyright
© The Author 2015 

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