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On the Specialization Theorem for Abelian Varieties
Author(s) -
Wazir R.
Publication year - 2006
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609306018261
Subject(s) - mathematics , abelian group , arithmetic of abelian varieties , mathematics subject classification , field (mathematics) , pure mathematics , algebraic number field , finitely generated abelian group , elementary abelian group , discrete mathematics , algebra over a field , rank of an abelian group
In this paper, we apply Moriwaki's arithmetic height functions to obtain an analogue of Silverman's specialization theorem for families of Abelian varieties over K , where K is any field finitely generated over Q. 2000 Mathematics Subject Classification 11G40, 14K15.