Congruences between Siegel modular forms II

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• 作者：Takashi Ichikawa ^{ichikawa@ms.saga-u.ac.jp}
• 关键词：Siegel modular forms ; Moduli spaces
• 刊名：Journal of Number Theory
• 出版年：2013
• 出版时间：April, 2013
• 年：2013
• 卷：133
• 期：4
• 页码：1362-1371
• 全文大小：183 K

文摘

Using a p-adic monodromy theorem on the affine ordinary locus in the minimally compactified moduli scheme modulo powers of a prime p of abelian varieties, we extend Katz?s results on congruence and p-adic properties of elliptic modular forms to Siegel modular forms of higher degree.