The Classification of Three-dimensional Homogeneous Complex Manifolds

The Classification of Three-dimensional Homogeneous Complex Manifolds PDF Author: Jörg Winkelmann
Publisher: Springer
ISBN: 3540491856
Category : Mathematics
Languages : en
Pages : 243

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Book Description
This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. The classification is based on methods from Lie group theory, complex analysis and algebraic geometry. Basic knowledge in these areas is presupposed.

The Classification of Three-dimensional Homogeneous Complex Manifolds

The Classification of Three-dimensional Homogeneous Complex Manifolds PDF Author: Jörg Winkelmann
Publisher: Springer
ISBN: 3540491856
Category : Mathematics
Languages : en
Pages : 243

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Book Description
This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. The classification is based on methods from Lie group theory, complex analysis and algebraic geometry. Basic knowledge in these areas is presupposed.

Complex Manifolds

Complex Manifolds PDF Author: Steven Bell
Publisher: Springer Science & Business Media
ISBN: 9783540629955
Category : Mathematics
Languages : en
Pages : 324

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Book Description
The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme.

The Classification of Three-Dimensional Homogeneous Complex Manifolds

The Classification of Three-Dimensional Homogeneous Complex Manifolds PDF Author: Jorg Winkelmann
Publisher:
ISBN: 9783662182048
Category :
Languages : en
Pages : 248

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Book Description


Topological Methods in Algebraic Transformation Groups

Topological Methods in Algebraic Transformation Groups PDF Author: Kraft
Publisher: Springer Science & Business Media
ISBN: 1461237025
Category : Mathematics
Languages : en
Pages : 216

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Book Description
In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties. Tech niques from various branches of mathematics have been important for this study, especially those coming from the well-developed theory of smooth compact transformation groups. It was timely to have an interdisciplinary meeting on these topics. We organized the conference "Topological Methods in Alg~braic Transformation Groups," which was held at Rutgers University, 4-8 April, 1988. Our aim was to facilitate an exchange of ideas and techniques among mathematicians studying compact smooth transformation groups, alge braic transformation groups and related issues in algebraic and analytic geometry. The meeting was well attended, and these Proceedings offer a larger audience the opportunity to benefit from the excellent survey and specialized talks presented. The main topics concerned various as pects of group actions, algebraic quotients, homogeneous spaces and their compactifications. The meeting was made possible by support from Rutgers University and the National Science Foundation. We express our deep appreciation for this support. We also thank Annette Neuen for her assistance with the technical preparation of these Proceedings.

Riemannian Geometry of Contact and Symplectic Manifolds

Riemannian Geometry of Contact and Symplectic Manifolds PDF Author: David E. Blair
Publisher: Springer Science & Business Media
ISBN: 1475736045
Category : Mathematics
Languages : en
Pages : 263

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Book Description
Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).

Polynomial Mappings

Polynomial Mappings PDF Author: Wladyslaw Narkiewicz
Publisher: Springer
ISBN: 3540492666
Category : Mathematics
Languages : en
Pages : 144

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Book Description
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.

Seminaire de Probabilites XXIX

Seminaire de Probabilites XXIX PDF Author: Jacques Azema
Publisher: Springer
ISBN: 354044744X
Category : Mathematics
Languages : en
Pages : 337

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Book Description
All the papers included in this volume are original research papers. They represent an important part of the work of French probabilists and colleagues with whom they are in close contact throughout the world. The main topics of the papers are martingale and Markov processes studies.

An Introduction to Analysis on Wiener Space

An Introduction to Analysis on Wiener Space PDF Author: Ali S. Üstünel
Publisher: Springer
ISBN: 3540446621
Category : Mathematics
Languages : en
Pages : 103

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Book Description
This book gives the basis of the probabilistic functional analysis on Wiener space, developed during the last decade. The subject has progressed considerably in recent years thr- ough its links with QFT and the impact of Stochastic Calcu- lus of Variations of P. Malliavin. Although the latter deals essentially with the regularity of the laws of random varia- bles defined on the Wiener space, the book focuses on quite different subjects, i.e. independence, Ramer's theorem, etc. First year graduate level in functional analysis and theory of stochastic processes is required (stochastic integration with respect to Brownian motion, Ito formula etc). It can be taught as a 1-semester course as it is, or in 2 semesters adding preliminaries from the theory of stochastic processes It is a user-friendly introduction to Malliavin calculus!

Gorenstein Dimensions

Gorenstein Dimensions PDF Author: Lars W. Christensen
Publisher: Springer Science & Business Media
ISBN: 9783540411321
Category : Mathematics
Languages : en
Pages : 220

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Book Description
This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods.

Geometric Aspects of Functional Analysis

Geometric Aspects of Functional Analysis PDF Author: V.D. Milman
Publisher: Springer
ISBN: 354045392X
Category : Mathematics
Languages : en
Pages : 296

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Book Description
This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. Another topic represented here is the use of new probabilistic tools; in particular transportation of measure methods and new inequalities emerging from Poincaré-like inequalities.