Several complex variables and comlex geometries are differential fields.
Comlex geometries are distinguished several fields by methods of studies.
A complex geometry which is studied algebratically without schemes
called complex algebraic geometry.
A complex geometry which is a field using a method for of studies
the differential geometry called complex differential geometry.
A complex geometry which is a field using methods for of studies complex analysis,
mainly several complex analysis, called complex analytic geometry.
Recently, complex geometries are used representation theories
and the harmonic analysis etc for used methods of studies.