Algebraic surfaces by Lucian Bădescu

Cover of: Algebraic surfaces | Lucian Bădescu

Published by Springer in New York .

Written in English

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Subjects:

  • Surfaces, Algebraic

Edition Notes

Includes bibliographical references (p. [247]-255) and index.

Book details

StatementLucian Bădescu ; translated by Vladimir Maşek.
SeriesUniversitext
Classifications
LC ClassificationsQA571 .B3213 2001
The Physical Object
Paginationx, 258 p. :
Number of Pages258
ID Numbers
Open LibraryOL6793208M
ISBN 100387986685
LC Control Number00059551

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"The main aim of this book is to present a completely algebraic approach to the Enriques classification of smooth projective surfaces defined over an algebraically closed field of arbitrary characteristics.

This algebraic approach is one of the novelties in comparison to existing textbooks on the subject."Author: Lucian Badescu. Topological properties of algebraic surfaces.

Pages Zariski, O. Preview. Simple and double integrals on an algebraic surface. Algebraic surfaces book Zariski, O. Preview. Branch curves of multiple planes and continuous systems of plane algebraic curves.

Read this book. The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental.

To achieve this aim, and still remain inside the limits of the allotted space. Algebraic Surfaces. The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental.

The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic. The book is based on a. On Degenerations of Algebraic Surfaces (Memoirs of the American Mathematical Algebraic surfaces book by Ulf Persson (Author) › Visit Amazon's Ulf Persson Page.

Find all the books, read about the author, and more. See search results for this author. Algebraic surfaces book you an author. Learn about Author Central Cited by: Morphisms from a Surface to a Curve. Ruled Surfaces. The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic.

The book is based on a series of talks given by the author in. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results.

ADVANCED ON ALGEBRAIC SURFACES: Badescu - "Algebraic Surfaces". Excellent complete and advanced reference for surfaces. Very well done and indispensable for those needing a companion, but above all an expansion, to Hartshorne's chapter.

ON HODGE THEORY AND TOPOLOGY: Voisin - Hodge Theory and Complex Algebraic Geometry vols. I and II. Introduction to algebraic surfaces Lecture Notes for the course at the University of Mainz Wintersemester / Arvid Perego (preliminary draft) Octo 2.

Contents Introduction 5 eration of algebraic geometers, which together with Castelnuovo was nally ableFile Size: KB. Title: Chapters on algebraic surfaces. Authors: Miles Reid (Submitted on 6 Feb ) Abstract: This is a first graduate course in algebraic geometry.

It aims to give the student a lift up into the subject at the research level, with lots of interesting topics taken from the classification of surfaces, and a human-oriented discussion of some of Cited by: Algebraic Topology This book, published inis a beginning graduate-level textbook on algebraic topology from a fairly classical point of view.

To find out more or to download it in electronic form, follow this link to the download page. "The author's book 'Algebraic surfaces' saw its first edition in By that time, the Italian school of algebraic geometers had brought the theory of algebraic surfaces, mainly with regard to its purely geometric aspects, to a remarkable stage of : $ In mathematics, an algebraic surface is an algebraic variety of dimension two.

In the case of geometry over the field of complex numbers, an algebraic surface has complex dimension two (as a complex manifold, when it is non-singular) and so of dimension four as a. Introduction to Algebraic Geometry by Igor V.

Dolgachev. This book explains the following topics: Systems of algebraic equations, Affine algebraic sets, Morphisms of affine algebraic varieties, Irreducible algebraic sets and rational functions, Projective algebraic varieties, Morphisms of projective algebraic varieties, Quasi-projective algebraic sets, The image of a projective algebraic.

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.

Algebraic surfaces Bertini’s theorem, Ampleness Criterion, Intersection theory and Riemann-Roch theorem on surfaces Remark Please refer to [Ha, II 7] for ampleness and very ampleness. Another source is Hartshorne’s book: Ample subvarieties of algebraic varieties, Lecture Notes in Mathematics Classical Algebraic Geometry: a modern view.

IGOR V. DOLGACHEV. Preface. The main purpose of the present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times. Abstract. We costruct the following families i)–iv) of algebraic surfaces.

i) 49 families of K3 surfaces with certain curve configurations, most of which admit elliptic fibrations over P ii) 9 families of elliptic surfaces over P 1 of Kodaira dimension κ = 1 such that the irregularity q = 0 and the geometric genus P g = 1 or iii) 6 families of surfaces of general type, satisfying.

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 Beauville gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern Cited by: Algebraic Curves and Riemann Surfaces About this Title.

Rick Miranda, Colorado State University, Fort Collins, CO. Publication: Graduate Studies in Mathematics Publication Year Volume 5 ISBNs: (print); (online)Cited by: The options seem to include the books by Beauville, Badescu, and Barth-Hulek-Peters-van de Ven, the chapters by Reid, and the Shafarevich seminar journal issue.

There is also a survey by Iskovskikh & Shafarevich in the Encyclopaedia of Mathematical Sciences. "The author's book 'Algebraic surfaces' saw its first edition in By that time, the Italian school of algebraic geometers had brought the theory of algebraic surfaces, mainly with regard to its purely geometric aspects, to a remarkable stage of maturity.

Mumford's work in geometry combined traditional geometric insights with the latest algebraic techniques. He published on moduli spaces, with a theory summed up in his book Geometric Invariant Theory, on the equations defining an abelian variety, and on algebraic al advisor: Oscar Zariski.

In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters.

Description: 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. Algebraic surfaces. [Lucian Bădescu] -- "The main aim of this book is to present a completely algebraic approach to the Enriques' classification of smooth projective surfaces defined over an algebraically closed field of arbitrary.

Industry Reviews "The author's book 'Algebraic surfaces' saw its first edition in By that time, the Italian school of algebraic geometers had brought the theory of algebraic surfaces, mainly with regard to its purely geometric aspects, to a remarkable stage of maturity.

Intersections of low degree implicit algebraic surfaces are of special interest in the boundary evaluation of the Constructive Solid Geometry models. A more complete analysis of the special intersections of two quadric surfaces can be found in [ 48 ],[ 61 ],[ 82 ],[ 87 ],[ 98 ].

Format Book Published New York, Chelsea Pub. Co., Language English Series Ergebnisse Der Mathematik und Ihrer Grenzgebiete Description v, p.

22 cm. I think Algebraic Geometry is too broad a subject to choose only one book. But my personal choices for the BEST BOOKS are.

UNDERGRADUATE: Beltrametti et al. "Lectures on Curves, Surfaces and Projective Varieties" which starts from the very beginning with a classical geometric style. Very complete (proves Riemann-Roch for curves in an easy language) and concrete in.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): To put the subject matter of “Open Algebraic Surfaces ” in perspective, let me begin with a very classical question: If k ⊂ L are fields and L ⊂ k(x1,xn) = k (n) (field of rational functions), is L purely transcendental over k.

(Then L = k (d), d = transcendence degree of L over k. Lectures on Curves on an Algebraic Surface. (AM), Volume Stay connected for the latest books, Ideas, and special offers.

Stay connected for the latest book news. Email. Top. United States. 41 William Street Princeton, New Jersey. Analytic continuation and Riemann surface determination of algebraic functions by computer.

Japan Journal of Industrial and Applied Mathematics, Vol. 13, Issue. 1, p. Japan Journal of Industrial and Applied Mathematics, Vol. 13, Issue. 1, p. Author: Frances Kirwan. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex.

arXiv:alg-geom/v1 6 Feb Chapters on Algebraic Surfaces Miles Reid Foreword This is a first graduate course in algebraic geometry.

It aims to give the student a lift up into the subject at the research level, with lots of interesting topics taken from the classification of surfaces, and a human-oriented discussion of some of theCited by: These lectures, delivered by Professor Mumford at Harvard inare devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic/5.

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 Beauville gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern.

Open Algebraic Surfaces by Masayoshi Miyanishi,available at Book Depository with free delivery : Masayoshi Miyanishi. Book Pdf Djvu. Search this site. Home.

Algebraic surfaces (Ergebnisse der Mathematik und ihrer Grenzgebiete) Algebraic Topology (Mathematics lecture note series) American Monster: How the Nation's First Prehistoric Creature Became a Symbol of National Identity.

Surfaces, Algebraic 37 works Search for books with subject Surfaces, Algebraic. Search. Read. Read. Read. Lectures on curves on an algebraic surface David Mumford Read. Lectures on curves on an algebraic surface David Mumford Read.

Read. Ball and surface arithmetics Rolf-Peter Holzapfel.Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann The author of this monograph argues that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts /5.Chapters on algebraic surfaces (nonfinal version, pp.) These lectures appeared in Complex algebraic varieties, J.

Koll\'ar (Ed.), IAS/Park City lecture notes series ( volume), AMS, Providence R.I.,[If you download any of these files, please ask your university library to buy the book.] Foreword and Table of Contents (3 pp.).

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