Introduction to Complex Analytic Geometry |
Contents
PRELIMINARIES | 1 |
Symmetric polynomials Discriminant | 23 |
Complex analysis | 98 |
Copyright | |
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algebraic set algebraic subset analytic germ analytic set analytic space analytically constructible set assume atlas biholomorphic bijection blowing-up chart closed closure Cn-k codim coefficients compact complex manifold connected components constant dimension contains coordinate system corollary defined denote dense subset element epimorphism equal equivalent fibres finite follows function f germ ƒ graph hence holomorphic function holomorphic mapping homeomorphism implies integral domain intersection inverse image irreducible isomorphism k-normal k-regular linear locally analytic subset mapping f mapping ƒ module monic monic polynomial n-dimensional natural projection neighbourhood of zero noetherian non-empty non-zero normal triple Obviously open and dense open neighbourhood open set open subset polynomial prime ideals PROOF proposition quasi-algebraic rank regular respectively restriction ring Oa satisfies the condition sequence simple components submanifold submersion submodules subring subspace surjective unique V₁ vector space zero divisor zk+1