Introduction to Holomorphic Functions of Several Variables, Volume II Local Theory
Langue : Anglais
Auteur : Gunning R.C.
Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.
1. Local Rings of Holomorphic Functions 2. Holomorphic Varieties and Subvarieties 3. Finite Branched Holomorphic Coverings 4. Local Parametrization of Holomorphic Varieties 5. Some Applications of Local Parametrization 6. Oka's Theorem 7. Dimension 8. Holomorphic Functions on Varieties 9. Tangent Spaces 10. Holomorphic Vector Fields and Differential Equations 11. Holomorphic Extensions 12. Holomorphic Mappings 13. Projective Spaces 14. Proper Holomorphic Mappings and Modifications 15. Meromorphic Functions in ℂn 16. Meromorphic Functions on Varieties 17. Normal Varieties 18. Normalization of Varieties
Professional
Gunning, R.C.
Date de parution : 12-2020
15.6x23.4 cm
Thème d’Introduction to Holomorphic Functions of Several... :
Mots-clés :
Holomorphic Subvariety; Holomorphic Variety; subvariety; Holomorphic Mapping; variety; Holomorphic Vector Fields; mapping; Proper Holomorphic Mapping; open; Proper Holomorphic Subvariety; neighborhood; Open Neighborhood; proper; Biholomorphic Mappings; biholomorphic; Ordinary Differential Equations; subset; Irreducible Components; irreducible; Unique Factorization Domain; components; Meromorphic Functions; Robert C; Gunning; Open Subset; Finite Dimensional Complex Vector Space; Weierstrass Polynomial; Weierstrass Preparation Theorem; Total Quotient Ring; Dense Open Subset; Monic Polynomial; Open Polydisc; Homogeneous Polynomials; Local Ring; Holomorphic Extension; Closed Subset; Finitely Generated
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