Bi-coloured fields on the complex numbers
Zilber, B.
J. Symbolic Logic, Tome 69 (2004) no. 1, p. 1171-1186 / Harvested from Project Euclid
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We consider two theories of “bad fields” constructed by B.Poizat using Hrushovski's amalgamation and show that these theories have natural models representable as the field of complex numbers with a distinguished subset given as a union of countably many real analytic curves. One of the two examples is based on the complex exponentiation and the proof assumes Schanuel's conjecture.
Publié le : 2004-12-14
Classification:  
@article{1102022217,
     author = {Zilber, B.},
     title = {Bi-coloured fields on the complex numbers},
     journal = {J. Symbolic Logic},
     volume = {69},
     number = {1},
     year = {2004},
     pages = { 1171-1186},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1102022217}
}

Zilber, B. Bi-coloured fields on the complex numbers. J. Symbolic Logic, Tome 69 (2004) no. 1, pp.  1171-1186. http://gdmltest.u-ga.fr/item/1102022217/