Holomorphic curve
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.[1]
Nevanlinna theory addresses the question of the distribution of values of a holomorphic curve in the complex projective line.[1][2]
See also
Notes
- 1 2 Shiffman (1977), p.553
- ↑ Min Ru (2001). Nevanlinna Theory and its Relation to Diophantine Approximation. World Scientific. ISBN 981-02-4402-9.
References
- B. Shiffman (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.
This article is issued from Wikipedia - version of the Sunday, May 11, 2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.