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Chow theorem

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Every analytic subset (cf. Analytic set 6)) of a complex projective space is an algebraic variety. The theorem was proved by W.L. Chow [1].

References

[1] W.L. Chow, "On compact complex analytic varieties" Amer. J. Math. , 71 (1949) pp. 893–914
[2] P.A. Griffiths, J.E. Harris, "Principles of algebraic geometry" , 1 , Wiley (Interscience) (1978)
[3] S.S. Chern, "Complex manifolds without potential theory" , Springer (1979)
How to Cite This Entry:
Chow theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Chow_theorem&oldid=23782
This article was adapted from an original article by A.L. Onishchik (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article