ANALYTIC VARIETY

In mathematics, specifically geometry, an 'analytic variety' is defined locally as the set of common solutions of several equations involving analytic functions. It is analogous to the included concept of complex algebraic variety, and any complex manifold is an analytic variety. Since algebraic varieties may have singular points, not all analytic varieties are complex manifolds. An Analytic variety is also called 'real' or 'complex analytic set'.

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References

★ Complex analytic varieties, Hassler Whitney, , , Addison-Wesley, 1972, , chapter 2 ''Analytic varieties''.

★ Complex analytic sets, Evgeniǐ Mikhaǐlovich Chirka, , , Kluwer Academic Publishers, 1989, ISBN 0-7923-0234-6 , chapter 1, paragraph 2 ''Definition and simplest properties of analytic sets. Sets of codimension 1''.

External links

★ Evgeniǐ Mikhaǐlovich Chirka "''Analytic set''", Springer-Verlag Online Encyclopaedia of Mathematics.

★ "''Analytic set''" Planetmath.org Encyclopedia.