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Isogeny estimates for abelian varieties, and finiteness theorems. (English) Zbl 0804.14019
This follow-up of the preceding paper [by the same authors; cf. Invent. Math. 100, No. 1, 1-24 (1990; Zbl 0722.14027)] gives as application effective estimates for various invariants of abelian varieties over number fields. Thus some (but not all) of the reviewer’s results in the field can be made effective.
Reviewer: G.Faltings (Bonn)

##### MSC:
 14K05 Algebraic theory of abelian varieties 11G10 Abelian varieties of dimension $$> 1$$
##### Keywords:
effective estimates; invariants of abelian varieties
Zbl 0722.14027
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