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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

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" (PDF). Bulletin of the American Mathematical Society. 83 (4): 553–568. doi:10.1090/s0002-9904-1977-14323-1.

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