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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Ziyang Gao

Externe Organisationen

  • Institut des Hautes Etudes Scientifiques
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)659-663
Seitenumfang5
FachzeitschriftComptes Rendus Mathematique (Online)
Jahrgang354
Ausgabenummer7
Frühes Online-Datum16 Mai 2016
PublikationsstatusVeröffentlicht - 7 Juli 2016
Extern publiziertJa

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.

ASJC Scopus Sachgebiete

Zitieren

About the mixed André–Oort conjecture: Reduction to a lower bound for the pure case. / Gao, Ziyang.
in: Comptes Rendus Mathematique (Online), Jahrgang 354, Nr. 7, 07.07.2016, S. 659-663.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Gao Z. About the mixed André–Oort conjecture: Reduction to a lower bound for the pure case. Comptes Rendus Mathematique (Online). 2016 Jul 7;354(7):659-663. Epub 2016 Mai 16. doi: 10.1016/j.crma.2016.01.024
Download
@article{ee4c67af919643ed874057d006a08e02,
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",
month = jul,
day = "7",
doi = "10.1016/j.crma.2016.01.024",
language = "English",
volume = "354",
pages = "659--663",
journal = "Comptes Rendus Mathematique (Online)",
issn = "1631-073X",
publisher = "Elsevier Masson",
number = "7",

}

Download

TY - JOUR

T1 - About the mixed André–Oort conjecture

T2 - Reduction to a lower bound for the pure case

AU - Gao, Ziyang

N1 - Publisher Copyright: © 2016 Académie des sciences

PY - 2016/7/7

Y1 - 2016/7/7

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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84967334558&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2016.01.024

DO - 10.1016/j.crma.2016.01.024

M3 - Article

VL - 354

SP - 659

EP - 663

JO - Comptes Rendus Mathematique (Online)

JF - Comptes Rendus Mathematique (Online)

SN - 1631-073X

IS - 7

ER -