Quasiminimality of complex powers

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.

35 pages

References in corpus (2)

• The theory of the exponential differential equations of semiabelian varieties
• Exponential Sums Equations and Tropical Geometry