A Geometric Approach to Some Systems of Exponential Equations

Zilber's Exponential Algebraic Closedness conjecture (also known as Nullstellensatz) gives conditions under which a complex algebraic variety should intersect the graph of exponential map semiabelian variety. We prove special case where has dominant projection to domain map, for abelian varieties and tori. Furthermore, in situation intersection is 0-dimensional, we exhibit structure by parametrizing sufficiently large points images period lattice (multivalued) analytic map. Our approach geometric, contrast real proof given Brownawell Masser just