À propos de la conjoncture d'André–Oort mixte: réduction à la borne inférieure pour le cas pur

Ziyang Gao

doi:10.1016/j.crma.2016.01.024

À propos de la conjoncture d'André–Oort mixte: réduction à la borne inférieure pour le cas pur

Translated title of the contribution: 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

4 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.

Translated title of the contribution	About the mixed André–Oort conjecture: Reduction to a lower bound for the pure case
Original language	French
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

Mathematics(all)

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10.1016/j.crma.2016.01.024

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title = "{\`A} propos de la conjoncture d'Andr{\'e}–Oort mixte: r{\'e}duction {\`a} la borne inf{\'e}rieure pour le cas pur",

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",

month = jul,

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doi = "10.1016/j.crma.2016.01.024",

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N2 - 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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À propos de la conjoncture d'André–Oort mixte: réduction à la borne inférieure pour le cas pur

Abstract

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