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

* Pseudoholomorphic curve

## Notes

1. ↑ 1.0 1.1 (Shiffman 1977), p.553
2. ↑ Min Ru (2001). Nevanlinna Theory and its Relation to Diophantine Approximation. World Scientific. ISBN 981-02-4402-9.

## References

* Shiffman, B. (1977). "Holomorphic curves in algebraic manifolds". Bulletin of the American Mathematical Society 83 (4): 553–568. doi:10.1090/s0002-9904-1977-14323-1. https://www.ams.org/bull/1977-83-04/S0002-9904-1977-14323-1/S0002-9904-1977-14323-1.pdf.

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