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

Ziyang Gao

doi:10.1016/j.crma.2016.01.024

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

Ziyang Gao

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	659-663
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	354
Issue number	7
DOIs	https://doi.org/10.1016/j.crma.2016.01.024
State	Published - Jul 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2016.01.024

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title = "About the mixed Andr{\'e}–Oort conjecture: Reduction to a lower bound for the pure case",

abstract = "We prove that the mixed Andr{\'e}–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.",

author = "Ziyang Gao",

note = "Publisher Copyright: {\textcopyright} 2016 Acad{\'e}mie des sciences",

year = "2016",

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AU - Gao, Ziyang

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AB - 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.

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

Abstract

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