In mathematics, in the field of complex geometry, a holomorphic curve in a complex manifold M is a non-constant holomorphic map f from the complex plane to M. Nevanlinna theory addresses the question of the distribution of values of a holomorphic curve in the complex projective line.
See also Pseudoholomorphic curve
Notes
References Shiffman, B. (1977). "Holomorphic curves in algebraic manifolds" (PDF). Bulletin of the American Mathematical Society. 83 (4): 553–568. doi:10.1090/s0002-9904-1977-14323-1.