The model theory of the field of reals with a subgroup of the unit circle

We describe definable sets in the field of reals augmented by a predicate for a finite rank multiplicative group Γ of complex numbers contained in the unit circle . This structure interprets the quotient-space /Γ which, for Γ infinite cyclic, is related to the quantum torus. Every definable set is p...

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Bibliographic Details
Main Authors: Belegradek, O, Zilber, B
Format: Journal article
Language:English
Published: 2008