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.
|Number of pages||10|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|Publication status||Published - 2012|