Abstract:
In this talk, we discuss holomorphic curves with
deficiencies in a complex projective space Pn(C).
We first give some methods of making holomorphic
curves with deficient hypersurfaces, We show that
for a given hypersurface D in Pn(C),
there is a holomorphic curve f:C→Pn(C) with δf(D)>0.
Next we investigate
some properties of holomorphic curves with deficient divisors.
In particular, we consider how
the existence of deficient divisors affects
the uniqueness problem of holomorphic curves.