Classification Theory of Algebraic Varieties and Compact Complex Spaces PDF Download

Author: K. Ueno
Publisher: Springer
ISBN: 3540374159
Category : Computers
Languages : en
Pages : 296

View

Book Description

Author: Kenji Ueno
Publisher: Springer
ISBN: 9780387071381
Category : Algebraic varieties
Languages : en
Pages : 278

View

Book Description

Author: Herbert Popp
Publisher: Springer
ISBN:
Category : Mathematics
Languages : de
Pages : 348

View

Book Description

Author: H. Popp
Publisher: Springer
ISBN: 3540378774
Category : Mathematics
Languages : en
Pages : 341

View

Book Description

Author: H. Popp
Publisher: Springer
ISBN: 3540370315
Category : Mathematics
Languages : en
Pages : 196

View

Book Description

Author: Christopher D. Hacon
Publisher: Springer Science & Business Media
ISBN: 3034602901
Category : Mathematics
Languages : en
Pages : 206

View

Book Description
Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.

Author: Shmuel Weinberger
Publisher: University of Chicago Press
ISBN: 9780226885674
Category : Mathematics
Languages : en
Pages : 308

View

Book Description
This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In the first expository account of this field, Weinberger provides topologists with a new way of looking at the classification theory of singular spaces with his original results. Divided into three parts, the book begins with an overview of modern high-dimensional manifold theory. Rather than including complete proofs of all theorems, Weinberger demonstrates key constructions, gives convenient formulations, and shows the usefulness of the technology. Part II offers the parallel theory for stratified spaces. Here, the topological category is most completely developed using the methods of "controlled topology." Many examples illustrating the topological invariance and noninvariance of obstructions and characteristic classes are provided. Applications for embeddings and immersions of manifolds, for the geometry of group actions, for algebraic varieties, and for rigidity theorems are found in Part III. This volume will be of interest to topologists, as well as mathematicians in other fields such as differential geometry, operator theory, and algebraic geometry.

Author: Thomas Peternell
Publisher: Birkhäuser
ISBN: 3034888937
Category : Mathematics
Languages : en
Pages : 221

View

Book Description
This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.

Author: Vasile Brinzanescu
Publisher: Springer
ISBN: 3540498451
Category : Mathematics
Languages : en
Pages : 175

View

Book Description
The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. The reader requires a grounding in geometry at graduate student level. The book will be of interest to graduate students and researchers in complex, algebraic and differential geometry.

Author: W. Barth
Publisher: Springer
ISBN: 3642577393
Category : Mathematics
Languages : en
Pages : 439

View

Book Description
In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged.