Stein manifolds and holomorphic mappings : the homotopy principle in complex analysis

Franc Forstnerič

The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.

「Nielsen BookData」より

[目次]

  • Preliminaries. - Stein Manifolds. - Stein Neighborhoods and Holomorphic Approximation. - Automorphisms of Complex Euclidean Spaces. - Oka Manifolds. - Elliptic Complex Geometry and Oka Principle. - Applications. - Embeddings, Immersions and Submersions.- Topological Methods in Stein Geometry. - References. - Index.

「Nielsen BookData」より

この本の情報

書名 Stein manifolds and holomorphic mappings : the homotopy principle in complex analysis
著作者等 Forstnerič, Franc
Forstneric Franc
シリーズ名 Ergebnisse der Mathematik und ihrer Grenzgebiete
出版元 Springer
刊行年月 c2011
ページ数 x, 489 p.
大きさ 25 cm
ISBN 9783642222498
NCID BB06906522
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想