Quasiminimality of complex powers
arXiv:2304.06450 · doi:10.1017/fms.2024.82
Abstract
The complex field, equipped with the multivalued functions of raising to each complex power, is quasiminimal, proving a conjecture of Zilber and providing evidence towards his stronger conjecture that the complex exponential field is quasiminimal.
arXiv comment35 pages
References in corpus (11)
- On Quasiminimal Excellent Classes
- Exponential algebraicity in exponential fields
- The theory of the exponential differential equations of semiabelian varieties
- Quasiminimal structures and excellence
- Pseudo-exponential maps, variants, and quasiminimality
- A Schanuel property for exponentially transcendental powers
- Covers of Multiplicative Groups of Algebraically Closed Fields of Arbitrary Characteristic
- Some Definability Results in Abstract Kummer Theory
- Finitely Presented Exponential Fields
- Exponential Sums Equations and Tropical Geometry
- Generic Automorphisms and Green Fields