Details
| Original language | English |
|---|---|
| Pages (from-to) | 85-146 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 732 |
| Publication status | Published - 2017 |
Abstract
Keywords
- math.AG, math.NT, 11G18, 11G15, 14G35, 14G05
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In: Journal fur die Reine und Angewandte Mathematik, Vol. 732, 2017, p. 85-146.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Towards the Andre–Oort conjecture for mixed Shimura varieties
T2 - The Ax–Lindemann theorem and lower bounds for Galois orbits of special points
AU - Gao, Ziyang
PY - 2017
Y1 - 2017
N2 - We prove in this paper the Ax-Lindemann-Weierstrass theorem for all mixed Shimura varieties and discuss the lower bounds for Galois orbits of special points of mixed Shimura varieties. In particular we reprove a result of Silverberg in a different approach. Then combining these results we prove the Andr\'e-Oort conjecture for any mixed Shimura variety whose pure part is a subvariety of A_6^n.
AB - We prove in this paper the Ax-Lindemann-Weierstrass theorem for all mixed Shimura varieties and discuss the lower bounds for Galois orbits of special points of mixed Shimura varieties. In particular we reprove a result of Silverberg in a different approach. Then combining these results we prove the Andr\'e-Oort conjecture for any mixed Shimura variety whose pure part is a subvariety of A_6^n.
KW - math.AG
KW - math.NT
KW - 11G18, 11G15, 14G35, 14G05
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-84978366283&origin=inward&txGid=879cd787857f6556f1f7c3e8e21a8c48
U2 - 10.48550/arXiv.1310.1302
DO - 10.48550/arXiv.1310.1302
M3 - Article
VL - 732
SP - 85
EP - 146
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
SN - 0075-4102
ER -