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From Holomorphic Functions to Complex Manifolds

Posted By: AvaxGenius
Date: 11 Dec 2023 17:17:30
From Holomorphic Functions to Complex Manifolds

From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche , Hans Grauert
English | PDF (True) | 2002 | 406 Pages | ISBN : 0387953957 | 32.1 MB

The aim of this book is to give an understandable introduction to the the­ ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. Therefore, the abstract concepts involved with sheaves, coherence, and higher-dimensional cohomology are avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional co­ cycles are used.
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Differential Analysis on Complex Manifolds

Posted By: AvaxGenius
Date: 27 Jan 2023 17:14:59
Differential Analysis on Complex Manifolds

Differential Analysis on Complex Manifolds by Raymond O. Wells
English | PDF | 2008 | 315 Pages | ISBN : 0387738916 | 1.9 MB

In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.
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Differential Analysis on Complex Manifolds

Posted By: AvaxGenius
Date: 27 Dec 2022 23:12:20
Differential Analysis on Complex Manifolds

Differential Analysis on Complex Manifolds by R. O. Wells
English | PDF | 1980 | 269 Pages | ISBN : N/A | 20.8 MB

In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.
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Basic Algebraic Geometry 2: Schemes and Complex Manifolds, Third Edition

Posted By: AvaxGenius
Date: 22 Feb 2020 14:44:17
Basic Algebraic Geometry 2: Schemes and Complex Manifolds, Third Edition

Basic Algebraic Geometry 2: Schemes and Complex Manifolds, Third Edition by Igor R. Shafarevich
English | PDF(Repost),EPUB | 2013 | 271 Pages | ISBN : 3642380093 | 5.6 MB

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.''
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