Compact Complex Surfaces by W. Barth (English) Hardcover Book

Description: Compact Complex Surfaces by W. Barth, K. Hulek, Chris Peters, A.van de Ven In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description The first edition of "Compact Complex Surfaces" was published in 1984 and has become one of the most important books on the subject. In this second enlarged edition the major developments of the last 20 years have been incorporated. The Enriques-Kodaira classification is carried out in the spirit of Mori theory and many new developments have been added, including new analytic tools as well as new algebraic methods such as the theorems of Bogomolov and Reider and their applications. A new section is devoted to the stunning results achieved by the introduction of Donaldson and Seiberg-Witten invariants. Table of Contents Introduction.- I. Preliminaries.- II. Curves on Surfaces.- III. Mappings of Surfaces.- IV. Some General Properties of Surfaces. V. Examples.- VI. The Enriques Kodaira Classification.- VII. Surfaces of General Type.- VIII. K3-Surfaces and Enriques Surfaces. IX. Topological and Differentiable Structure of Surfaces.- Bibliography.- Notation.- Index. Review From the reviews of the second edition: "This volume is the second and substantially enlarged edition of the book that appeared for the first time in 1984. a ] The bibliography has been substantially extended, covering new developments. Already a classic in the field, this book is recommended both to mathematicians interested in this mathematical topic and physicists working in the modern theoretical physics." (EMS Newsletter, September, 2005) "The book under review is the second, substantially enlarged edition a ] with K. Hulek as fourth co-author. a ] the bibliography has been updated and tremendously enlarged, thereby reflecting the vast activity in the field during the past twenty years. Now as before, the text is enriched by numerous instructive examples. a ] No doubt, this book remains a must for everyone dealing with complex algebraic surfaces, be it a student, an active researcher in complex geometry, or a mathematically ambitioned (quantum) physicist." (Werner Kleinert, Zentralblatt MATH, Vol. 1036 (11), 2004)From the reviews of the second edition: "This volume is the second and substantially enlarged edition of the book that appeared for the first time in 1984. ??? The bibliography has been substantially extended, covering new developments. Already a classic in the field, this book is recommended both to mathematicians interested in this mathematical topic and physicists working in the modern theoretical physics." (EMS Newsletter, September, 2005) "The book under review is the second, substantially enlarged edition ??? with K. Hulek as fourth co-author. ??? the bibliography has been updated and tremendously enlarged, thereby reflecting the vast activity in the field during the past twenty years. Now as before, the text is enriched by numerous instructive examples. ??? No doubt, this book remains a must for everyone dealing with complex algebraic surfaces, be it a student, an active researcher in complex geometry, or a mathematically ambitioned (quantum) physicist." (Werner Kleinert, Zentralblatt MATH, Vol. 1036 (11), 2004) Promotional Springer Book Archives Long 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 Review Text From the reviews of the second edition: "This volume is the second and substantially enlarged edition of the book that appeared for the first time in 1984. a? The bibliography has been substantially extended, covering new developments. Already a classic in the field, this book is recommended both to mathematicians interested in this mathematical topic and physicists working in the modern theoretical physics." (EMS Newsletter, September, 2005) "The book under review is the second, substantially enlarged edition a? with K. Hulek as fourth co-author. a? the bibliography has been updated and tremendously enlarged, thereby reflecting the vast activity in the field during the past twenty years. Now as before, the text is enriched by numerous instructive examples. a? No doubt, this book remains a must for everyone dealing with complex algebraic surfaces, be it a student, an active researcher in complex geometry, or a mathematically ambitioned (quantum) physicist." (Werner Kleinert, Zentralblatt MATH, Vol. 1036 (11), 2004) Feature Includes supplementary material: sn.pub/extras Details ISBN3540008322 Language English Edition 2nd ISBN-10 3540008322 ISBN-13 9783540008323 Media Book Format Hardcover Series Number 4 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Replaces 9783540121725 Short Title COMPACT COMPLEX SURFACES 1995/ Pages 436 DOI 10.1007/b84286;10.1007/978-3-642-57739-0 UK Release Date 2003-11-13 Author A.van de Ven Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 2nd ed. 1995 Series Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics Year 2003 Publication Date 2003-11-13 DEWEY 514.224 Illustrations XII, 436 p. Audience Professional & Vocational Alternative 9783642577383 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96223510;

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