4 edition of **Stein manifolds and holomorphic mappings** found in the catalog.

Stein manifolds and holomorphic mappings

Franc ForstneriДЌ

- 204 Want to read
- 7 Currently reading

Published
**2011** by Springer in Heidelberg, New York .

Written in English

- Holomorphic mappings,
- Homotopy theory,
- Stein manifolds

**Edition Notes**

Includes bibliographical references (p. 461-483) and index.

Statement | Franc Forstnerič |

Series | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics -- v.56, Ergebnisse der Mathematik und ihrer Grenzgebiete -- v.56. |

Classifications | |
---|---|

LC Classifications | QA612.7 .F67 2011 |

The Physical Object | |

Pagination | x, 489 p. ; |

Number of Pages | 489 |

ID Numbers | |

Open Library | OL25125298M |

ISBN 10 | 3642222498, 3642222501 |

ISBN 10 | 9783642222498, 9783642222504 |

LC Control Number | 2011936225 |

OCLC/WorldCa | 757558227 |

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: Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis (Ergebnisse der Mathematik und ihrer Grenzgebiete. Folge / A Series of Modern Surveys in Mathematics (56)) (): Forstnerič, Franc: Books5/5(1). 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 Stein manifolds and holomorphic mappings book Gromov and developed in the lastBrand: Springer-Verlag Berlin Heidelberg.

Stein Manifolds and Holomorphic Mappings This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds.

Oka theory is the field of complex analysis dealing with global problems on Stein. Stein Manifolds and Holomorphic Mappings Oka theory is the field of complex analysis dealing with global problems on Stein manifolds which admit analytic solutions in the absence of topological obstructions.

The exposition in the present volume focuses on the notion of an Oka manifold introduced by the author in Stein Manifolds Brand: Springer International Publishing.

Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis (Ergebnisse der Mathematik und ihrer Grenzgebiete. Folge / A Series of Modern Surveys in Mathematics Book 56) - Kindle edition by Forstnerič, Franc.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Stein 5/5(1). 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. Stein manifolds; Holomorphic mappings; Homotopy theory; Series.

Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. [More in this series] Ergebnisse der mathematik und ihrer grenzgebiete, ; volume 56 ; Bibliographic references Includes bibliographical references (pages ) and index. Contents Part 1. Download Citation | On Jan 1,Franc Forstnerič and others published Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis | Find, read and cite all the Author: Franc Forstneric.

springer, 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. The theme of this book is an examination of the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds.

Stein manifolds are in some sense dual to the elliptic manifolds in complex analysis Stein manifolds and holomorphic mappings book admit "many" holomorphic functions from the complex numbers into themselves. It is known that a Stein manifold is elliptic if and only if it is fibrant in the sense of so-called "holomorphic homotopy theory".

Implications of complex structure. Since holomorphic functions are much more rigid than smooth functions, the theories of smooth and complex manifolds have very different flavors: compact complex manifolds are much closer to algebraic varieties than to differentiable manifolds. For example, the Whitney embedding theorem tells us that every smooth n-dimensional manifold can be embedded as.

Idea. A Stein manifold is a complex manifold satisfying some niceness condition generalizing the concept of a domain of the point of view of cohomology Stein manifolds are to complex manifolds as Cartesian spaces are to smooth manifolds. every complex manifold has a “good cover” by Stein manifolds and the positive-degree abelian sheaf cohomology with values in any analytic.

Examples of Stein manifolds Domains in C, open Riemann surfaces (Behnke & Stein ). Cn, and domains of holomorphy in Cn (Cartan & Thullen ). A closed complex submanifold of a Stein manifold is Stein.

In particular, closed complex submanifolds of CN are Stein. If E. X is a holomorphic vector bundle and the base X is Stein, then the total space E is Stein. And a few examples of non-Stein. Abstract This note contains errata for my book Stein Manifolds and Holomorphic Mappings (The Homotopy Principle in Complex Analysis), Second Edition, Springer International Publishing AG In the second section I mention some important developments after book.

Manifolds and Holomorphic Mappings 1 of Complex Manifolds 4 and Complex Spaces 7 Holomorphic Fiber Bundles 10 Holomorphic Vector Bundles 13 Th e Bundle 18 The Cotangent Bundle and Differential Forms 22 Plurisubharmonic Functions and the Levi Form 25 Vector Fields, Flows and Foliations Conference on the Occasion of Professor Franc Forstnerič's 60th Birthday»Stein Manifolds and Holomorphic Mappings«.

Faculty of Mathematics and Physics, University of Ljubljana. Download Citation | Extending holomorphic mappings from subvarieties in Stein manifolds | Suppose that Y is a complex manifold with the property that any holomorphic map from a compact convex set Author: Franc Forstneric.

"This new book is a valuable addition to the literature." K. Fritzsche and H. Grauert From Holomorphic Functions to Complex Manifolds "A valuable addition to the literature."-MATHEMATICAL REVIEW "The book is a nice introduction to the theory of complex manifolds.4/5(1).

Stein Manifolds and Holomorphic Mappings. Faculty of Mathematics and Physics, University of Ljubljana, September This is the second announcement for the conference»Stein manifolds and holomorphic mappings«on the occasion of professor Franc Forstnerič's 60th birthday.

The conference will. MANIFOLDS OF HOLOMORPHIC MAPPINGS FROM STRONGLY PSEUDOCONVEX DOMAINS FRANC FORSTNERICˇ Abstract. Let D be a bounded strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold.

We show that many classical spaces of maps D¯ →Y which are holomorphic in Dare inﬁnite dimensional complex manifolds which are modeled on. Stein manifolds and holomorphic mappings: the homotopy principle in complex analysis This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds.

Oka theory is the field of complex analysis Author: Franc Forstnerič. (source: Nielsen Book Data) Summary This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology.

Abstract: Suppose that Y is a complex manifold with the property that any holomorphic map from a compact convex set in a complex Euclidean space C^n (for any n) to Y is a uniform limit of entire maps from C^n to Y.

We prove that a holomorphic map from a closed complex subvariety X_0 in a Stein manifold X to the manifold Y extends to a holomorphic map of X to Y provided that it extends to a Author: Franc Forstneric.

Download Book Differential Analysis On Complex Manifolds 65 Graduate Texts In Mathematics in PDF format. You can Read Online Differential Analysis On Complex Manifolds 65 Graduate Texts In Mathematics here in PDF, EPUB, Mobi or Docx formats.

Stein Manifolds and Holomorphic Mappings. Workshop and Conference on Holomorphic Curves and Low Dimensional Topology July 30 to Aug Stanford University. Organizers: S. Akbulut (MSU), A. Akhmedov (UMN), D.

Auroux (Berkeley), Y. Eliashberg (Stanford), K. Honda (USC), C. Karakurt (UT Austin), P. Ozsváth (Princeton). The main focus of this workshop will be on holomorphic curve techniques in low-dimensional topology and.

STEIN MANIFOLDS AND HOLOMORPHIC MAPPINGS September Europe/Ljubljana timezone. Overview. Invited Speakers. Registration. Registration Form; Participants. Travel information. Venue. Timetable. Abstracts. Trip to Bled. Conference photos. Home. The book of abstracts is available on the following link: Then the material becomes more specialized, with an emphasis on analysis on manifolds.

Franc Forstnerič, Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis,volume 56 in the third series of Ergebnisse der Mathematik und ihrer Grenzgebiete. This advanced book is at the frontiers of research.

If I have correctly undrestood,it is a result of the so called Grauert-Oka principle that all holomorphic vector bundles over contractible Stein manifolds are holomorhically any one kn.

On holomorphic mappings of complex manifolds with ball model SHIGA, Hiroshige, Journal of the Mathematical Society of Japan, Infinite products of holomorphic mappings Budzyńska, Monika and Reich, Simeon, Abstract and Applied Analysis, Cited by: This book is the second edition of S.

Kobayashi's influential book on the theory of invariant distances and their application to questions in in the theory of mappings of complex manifolds.

It serves as a fine introduction to hyperbolic complex analysis. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and. Hyperbolic Manifolds And Holomorphic Mappings: An Introduction by Shoshichi Kobayashi,available at Book Depository with free delivery worldwide.

We use cookies to give you the best possible experience. By using our website you agree to our use of. The first edition of this influential book, published inopened up a completely new field of invariant metrics and hyperbolic manifolds.

The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections?invariant metrics and pseudo-distances.

and?hyperbolic complex manifolds. within the section?holomorphic. The class of Stein manifolds was introduced by K. Stein as a natural generalization of the notion of a domain of holomorphy in.

Any closed analytic submanifold in is a Stein manifold; conversely, any -dimensional Stein manifold has a proper holomorphic imbedding in (cf. Proper morphism). Any non-compact Riemann surface is a Stein manifold.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.

Complex projective manifolds and holomorphic mappings. Ask Question Asked 7 years, 1 month e.g. the properties of holomorphic mappings. algebraic-geometry differential-geometry complex-geometry vector.

I gathered from various books and conversations that the philosophy is that holomorphic functions on open subsets of Stein manifolds "essentially behave like" holomorphic functions on open subsets of $\mathbb{C}^n$ and that this is due to the embedding theorem by Remmert & others (which states that Stein manifolds can be proberly embedded by a holomorphic function into some $\mathbb{C}^n$).

at regular values of the inverse images of smooth mappings of compact manifolds of the same dimension; see Result A precise description (such as what we have for the unit disk) for the set of all proper holomorphic mappings between two complex manifolds is, in general, very hard to Size: KB.

That Stein manifolds have all $(p,q), p \geq 0, q \geq 1$ vanishing Dolbeault cohomology groups is more or less standard. I am a little bit confused about the reverse implication: whether the vani. NONCRITICAL HOLOMORPHIC FUNCTIONS ON STEIN MANIFOLDS on X. Furthermore, there exist noncritical functions satisfying the axioms of a Stein manifold ([H52, p.

Definition ]). Theorem is proved in w The critical locus of a generically chosen holomorphic function on a Stein manifold is Size: 2MB.

Quotients of Stein manifolds by discrete group actions Background Given a complex space (X;OX) endowed with a Lie group G of holomorphic transformations, it is natural to ask under which conditions it is possible to construct a holomorphic quotient of X by the action of G.

More precisely.Stein Manifolds and Holomorphic Mappings. created by calamai on 05 Feb 17 sep - 21 sep Faculty of Mathematics and Physics, University of Ljubljana {{the content of this page was copy and pasted from the origin announcement email or website; .Locally Stein domains over holomorphically convex manifolds Vâjâitu, Viorel, Journal of Mathematics of Kyoto University, ; On holomorphic mappings of complex manifolds with ball model SHIGA, Hiroshige, Journal of the Mathematical Society of Japan, ; On value distribution of nondegenerate holomorphic maps of a two-dimensional Stein manifold M to C2 and classification of M Adachi Cited by: