Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties
Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties
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PEL型Shimura簇环形致密化的解析结构与代数结构的比较
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Kai
中科院分区：
文献类型：
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作者：
Kai
利用代数函数和解析函数之间的显式恒等式，比较了falting - chai和作者提出的环面紧化的代数构造与Ash-Mumford-Rapoport-Tai给出的环面紧化的解析构造。作为应用之一，我们得到了全纯自同构形式的Fourier-Jacobi展开式的相应比较。
Abstract Using explicit identifications between algebraic and analytic theta functions, we compare the algebraic constructions of toroidal compactifications by Faltings–Chai and the author, with the analytic constructions of toroidal compactifications following Ash–Mumford–Rapoport–Tai. As one of the applications, we obtain the corresponding comparison for Fourier–Jacobi expansions of holomorphic automorphic forms.