About the mixed André-Oort conjecture: Reduction to a lower bound for the pure case

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• 作者：Ziyang Gao ^{ziyang.gao@math.u-psud.fr" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Comptes Rendus Mathematique
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：354
• 期：7
• 页码：659-663
• 全文大小：248 K

文摘

We prove that the mixed André–Oort conjecture holds for any mixed Shimura variety if a lower bound for the size of Galois orbits of special points in pure Shimura varieties exists. This generalizes the current results for mixed Shimura varieties of Abelian type.