形式Fourier Jacobi展开与余维2的特殊圈
Formal Fourier Jacobi Expansions and Special Cycles of Codimension 2
摘要：
证明了2次形式Fourier Jacobi展开式是Siegel模形式.作为推论，我们导出了Kudla定义的余维为2的特殊圈的生成函数的模性。第二个应用是证明终止的算法来计算傅立叶展开的任意西格尔模形式的程度2。结合这两个结果，我们可以计算第二Chow群中特殊圈的关系。
英文摘要：
We prove that formal Fourier Jacobi expansions of degree 2 are Siegel modular forms. As a corollary, we deduce modularity of the generating function of special cycles of codimension 2, 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 2. Combining both results enables us to compute relations of special cycles in the second Chow group.
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