Last edited by Meshura
Sunday, May 17, 2020 | History

8 edition of Algebraic surfaces. found in the catalog.

Algebraic surfaces.

by Oscar Zariski

  • 18 Want to read
  • 19 Currently reading

Published by Chelsea Pub. Co. in New York .
Written in English

    Subjects:
  • Surfaces,
  • Geometry, Algebraic

  • Edition Notes

    Bibliography: 190-197.

    SeriesErgebnisse der Mathematik und ihrer Grenzgebiete,, 3. Bd., 5
    Classifications
    LC ClassificationsQA571 .Z3 1948
    The Physical Object
    Paginationv, 198 p.
    Number of Pages198
    ID Numbers
    Open LibraryOL6044757M
    LC Control Number49002198
    OCLC/WorldCa10451019

    Sep 19,  · Before the publication of this book, K3 surfaces were treated in some of the general references on algebraic surfaces mentioned before, for example in the last chapter of the book by Barth et al, and also in Beauville et al Géometrie des surfaces K3: modules et périods (Astérisque , Soc. Math. France, ). Apr 17,  · 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.

    I added a "Foreword for non-mathematicians" to this book in an attempt to give a non-technical description of what algebraic geometry is all about for lay readers. Together with Shreeram Abhyankar and Joseph Lipman, we wrote some appendices to the second edition of his book Algebraic Surfaces, Springer Verlag, 2nd edition, This text is an introduction to the theory of algebraic curves defined over the complex numbers. It begins with the definitions and first properties of Riemann surfaces, with special attention paid to the Riemann sphere, complex tori, hyperelliptic curves, smooth plane curves, and projective curves.

    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. Algebraic 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 the Algebraic Geometry seminar at the Faculty of Mathematics, University of Bucharest.


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Algebraic surfaces by Oscar Zariski Download PDF EPUB FB2

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, it was necessary to confine the exposition to topics which are absolutely fundamental.

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 smooth manifold.

The theory of algebraic surfaces is much more complicated than that of algebraic curves (including the compact. 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 prideofaberdeenawards.com: Lucian Badescu.

complex algebraic surfaces Download complex algebraic surfaces or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get complex algebraic surfaces book now.

This site is like a library, Use search box in the widget to get ebook that you want. Feb 08,  · 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 the Algebraic Geometry seminar at the Faculty of Mathematics, University of Bucharest.

The main goal is the classification of nonsingular projective surfaces. Intersection theory on algebraic surfaces (k algebraically closed) Pages Zariski, Oscar.

Preview. Differentials. Pages Zariski, Oscar. Preview. The canonical system on a variety V. Pages Book Title An Introduction to the Theory of Algebraic Surfaces Authors. Oscar Zariski; Series Title Lecture Notes in Mathematics Author: Oscar Zariski.

"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. INTRODUCTORY ON ALGEBRAIC SURFACES: Beauville - "Complex Algebraic Surfaces".

I have not found a quicker and simpler way to learn and clasify algebraic surfaces. The background needed is minimum compared to other titles. ADVANCED ON ALGEBRAIC SURFACES: Badescu - "Algebraic Surfaces".

Excellent complete and advanced reference for surfaces. 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: A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they become much more tightly interconnected as the book prideofaberdeenawards.com by: "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 prideofaberdeenawards.com: $ F.A.

Bogomolov: The theory of invariants and its applications to some problems in the algebraic geometry.- E. Bombieri: Methods of algebraic geometry in Char. P and their applications.- Seminars: F. Catanese: Pluricanonical mappings of surfaces with K² =1,2, q=pg= F. Catanese: On a class of surfaces of general type.- I.

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.

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.

In fact this algebraic space quotient is not a scheme, is not complete, and is not even quasi-separated. This shows that although the quotient of an algebraic space by an infinite discrete group is an algebraic space, it can have strange properties and might not be the algebraic space one was "expecting".

I am interested in learning about algebraic surfaces (e.g. their classification in characteristic 0), and I was wondering whether any knowledgeable people would be so kind as to give their thoughts about the character of the various books that are available.

Introduction to algebraic surfaces Lecture Notes for the course at the University of Mainz Wintersemester / Arvid Perego (preliminary draft). Nov 21,  · 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. 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. 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.

Algebraic Geometry Notes I. This note covers the following topics: Hochschild cohomology and group actions, Differential Weil Descent and Differentially Large Fields, Minimum positive entropy of complex Enriques surface automorphisms, Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces, Superstring Field Theory, Superforms and Supergeometry, Picard groups for tropical toric.Algebraic Surfaces.

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

22 cm. Notes Bibliography: Series Statement Ergebnisse der Mathematik und ihrer Grenzgebiete 3. .This library is a Congressionally designated depository for U.S. Government documents. Public access to the Government documents is guaranteed by public law.