Complex Algebraic Surfaces
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Complex Algebraic Surfaces
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Author : Arnaud Beauville
language : en
Publisher: Cambridge University Press
Release Date : 1996-06-28
Complex Algebraic Surfaces written by Arnaud Beauville and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-28 with Mathematics categories.
Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor BeauviIle gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.
Classification Of Complex Algebraic Surfaces
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Author : Ciro Ciliberto
language : en
Publisher:
Release Date : 2020
Classification Of Complex Algebraic Surfaces written by Ciro Ciliberto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Algebraic topology categories.
Complex Algebraic Surfaces
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Author : A. Beauville
language : en
Publisher: Cambridge University Press
Release Date : 1983-09-08
Complex Algebraic Surfaces written by A. Beauville and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-09-08 with Mathematics categories.
Compact Complex Surfaces
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Author : W. Barth
language : en
Publisher: Springer
Release Date : 2015-05-22
Compact Complex Surfaces written by W. Barth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-22 with Mathematics categories.
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.
Theory Of Algebraic Surfaces
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Author : Kunihiko Kodaira
language : en
Publisher: Springer Nature
Release Date : 2020-09-17
Theory Of Algebraic Surfaces written by Kunihiko Kodaira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-17 with Mathematics categories.
This is an English translation of the book in Japanese, published as the volume 20 in the series of Seminar Notes from The University of Tokyo that grew out of a course of lectures by Professor Kunihiko Kodaira in 1967. It serves as an almost self-contained introduction to the theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the arithmetic genus. It also discusses the behavior of the pluri-canonical maps of surfaces of general type as a practical application of the general theory. The book is aimed at graduate students and also at anyone interested in algebraic surfaces, and readers are expected to have only a basic knowledge of complex manifolds as a prerequisite.
Algebraic Surfaces
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Author : Lucian Silvestru Badescu
language : en
Publisher:
Release Date : 2014-01-15
Algebraic Surfaces written by Lucian Silvestru Badescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Open Algebraic Surfaces
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Author : Masayoshi Miyanishi
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Open Algebraic Surfaces written by Masayoshi Miyanishi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Surfaces, Algebraic categories.
Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities. This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic background in algebraic geometry. This volume is a continuation of the work presented in the author's previous publication, Algebraic Geometry, Volume 136 in the AMS series, Translations of Mathematical Monographs.
Algebraic Geometry Ii
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Author : I.R. Shafarevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Algebraic Geometry Ii written by I.R. Shafarevich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Mathematics categories.
This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
Real Algebraic Surfaces
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Author : Robert Silhol
language : en
Publisher: Springer
Release Date : 2006-11-14
Real Algebraic Surfaces written by Robert Silhol and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Algebraic Surfaces
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Author : Lucian Badescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Algebraic Surfaces written by Lucian Badescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.