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The algebraic numbers definable in various exponential fields

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Abstract

We prove the following theorems. Theorem 1: for any E-field with cyclic kernel, in particular C or the Zilber fields, all real abelian algebraic numbers are pointwise definable. Theorem 2: for the Zilber fields, the only pointwise definable algebraic numbers are the real abelian numbers.

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Original languageEnglish
Pages (from-to)825-834
Number of pages10
JournalJournal of the Institute of Mathematics of Jussieu
Volume11
Issue number4
DOIs
Publication statusPublished - 2012
Peer-reviewedYes

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ID: 625129

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