Article contents
Green's Forms and Meromorphic Functions on Compact Analytic Varieties
Published online by Cambridge University Press: 20 November 2018
Extract
Let be a compact complex analytic variety of the complex dimension n with a positive definite Kâhlerian metric [4] ; the local analytic coordinates on
will be denoted by z = (z1z2, … , zn). Now, suppose a meromorphic function f(z) defined on
as given. Then the poles and zero-points of f(z) constitute an analytic surface in
consisting of a finite number of irreducible closed analytic surfaces Γ1, Γ2, … , Γk, each of which is a polar or a zero-point variety of f(z).
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1951
References
- 4
- Cited by