A minoration of the essential minimum on the varietes abeliennes

被引：17
|
作者：
Galateau, Aurelien [1 ]
机构：
[1] Univ Paris 11, Dept Math, Fac Sci Orsay, F-91405 Orsay, France
来源：
COMMENTARII MATHEMATICI HELVETICI | 2010年 / 85卷 / 04期
关键词：
Bogomolov; abelian variety; lower bound; height; POSITIVE LINE BUNDLES; ABELIAN-VARIETIES; UPPER-BOUNDS; HEIGHT; INTERSECTION; SUBGROUPS; SUBVARIETIES; CURVES;
D O I：
10.4171/CMH/211
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend to the general codimension the lower bound for the essential minimum on abelian varieties found in [Ga108], under a conjecture about ordinary primes in abelian varieties. This lower bound is the best expected, "up to an epsilon", in the degree of the subvariety and completes Viada's proof of the Zilber-Pink conjecture for a curve embedded in a power of an elliptic curve.
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页码：775 / 812
页数：38
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