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Function of several complex variables

The theory of functions of several complex variables is the branch of mathematics dealing with functions defined on the complex coordinate space C n {\displaystyle \mathbb {C} ^{n}} , that is, n-tuples of complex numbers. The name of the field dealing with the properties of these functions is called several complex variables (and analytic space), which…

History, Historical perspective & The complex coordinate space

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Overview

Historical perspective

The complex coordinate space

Holomorphic functions

Reinhardt domain

Natural domain of the holomorphic function (domain of holomorphy)

Sheaves

Manifolds and analytic varieties with several complex variables

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Function of several complex variables

Nodes216
Edges215
Triples1
Avg. degree1.99
Density0.009259
Components1

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displaystyle complex domain mathbb holomorphic manifold function stein functions analytic also space pseudoconvex theorem variables every holomorphy sheaf compact called

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SubjectPredicateObjectConfidenceSrc
Hodge theoryinstance ofThe combination of analytic and algebraic methods for complex projective varieties lead to areas0.80text

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