A holomorphic differential form of degree 
on a complex manifold 
is a bundle section of the bundle 
whose coefficient functions in every holomorphic coordinate chart are holomorphic
functions. The bundle 
is the 
th exterior power of the
holomorphic cotangent bundle. Such a bundle
section is also called a holomorphic 
-form. In local holomorphic coordinates 
,
..., 
,
it is a sum of terms
 |
where the coefficients 
are holomorphic
functions.
