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.{{harvtxt|Shiffman|1977}}, p.553

Nevanlinna theory addresses the question of the distribution of values of a holomorphic curve in the complex projective line.{{cite book | author=Min Ru | title=Nevanlinna Theory and its Relation to Diophantine Approximation | publisher=World Scientific | isbn=981-02-4402-9 | year=2001 }}

See also

Notes

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References

  • {{cite journal | title=Holomorphic curves in algebraic manifolds | journal=Bulletin of the American Mathematical Society | volume=83 | number=4 | year=1977 | first=B. |last=Shiffman | pages=553–568 | url=https://www.ams.org/bull/1977-83-04/S0002-9904-1977-14323-1/S0002-9904-1977-14323-1.pdf| doi=10.1090/s0002-9904-1977-14323-1| doi-access=free }}

Category:Complex manifolds

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