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Lectures On Curves On An Algebraic Surface

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Lectures On Curves On An Algebraic Surface

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Author : David Mumford
language : en
Publisher: Princeton University Press
Release Date : 1966-08-21

Lectures On Curves On An Algebraic Surface written by David Mumford and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966-08-21 with Mathematics categories.

These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are 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. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.

Lectures On Curves On An Algebraic Surface

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Author : David Mumford
language : it
Publisher:
Release Date : 1966

Lectures On Curves On An Algebraic Surface written by David Mumford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.

Lectures On Curves On An Algebraic Surface

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Author : David Mumford
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Lectures On Curves Surfaces And Projective Varieties

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Author : Mauro Beltrametti
language : en
Publisher: European Mathematical Society
Release Date : 2009

Lectures On Curves Surfaces And Projective Varieties written by Mauro Beltrametti and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consists of lectures on topics in classical algebraic geometry, including the basic properties of projective algebraic varieties, linear systems of hypersurfaces, algebraic curves (with special emphasis on rational curves), linear series on algebraic curves, Cremona transformations, rational surfaces, and notable examples of special varieties like the Segre, Grassmann, and Veronese varieties. An integral part and special feature of the presentation is the inclusion of many exercises, not easy to find in the literature and almost all with complete solutions. The text is aimed at students in the last two years of an undergraduate program in mathematics. It contains some rather advanced topics suitable for specialized courses at the advanced undergraduate or beginning graduate level, as well as interesting topics for a senior thesis. The prerequisites have been deliberately limited to basic elements of projective geometry and abstract algebra. Thus, for example, some knowledge of the geometry of subspaces and properties of fields is assumed. The book will be welcomed by teachers and students of algebraic geometry who are seeking a clear and panoramic path leading from the basic facts about linear subspaces, conics and quadrics to a systematic discussion of classical algebraic varieties and the tools needed to study them. The text provides a solid foundation for approaching more advanced and abstract literature.

Lectures On Curves On An Algebraic Surface

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Author : David Mumford
language : en
Publisher:
Release Date : 1985

Lectures On Curves On An Algebraic Surface

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Author : Frederick Charles Barghoorn
language : en
Publisher:
Release Date : 1966

Lectures On Curves On An Algebraic Surface written by Frederick Charles Barghoorn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.

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.

Lectures On K3 Surfaces

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Author : Daniel Huybrechts
language : en
Publisher: Cambridge University Press
Release Date : 2016-09-26

Lectures On K3 Surfaces written by Daniel Huybrechts 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 2016-09-26 with Mathematics categories.

Simple enough for detailed study, rich enough to show interesting behavior, K3 surfaces illuminate core methods in algebraic geometry.

Introduction To Algebraic Curves

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Author : Phillip A. Griffiths
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Introduction To Algebraic Curves written by Phillip A. Griffiths 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 1989 with Mathematics categories.

This book differs from a number of recent books on this subject in that it combines analytic and geometric methods at the outset, so that the reader can grasp the basic results of the subject. Although such modern techniques of sheaf theory, cohomology, and commutative algebra are not covered here, the book provides a solid foundation to proceed to more advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves. Containing numerous exercises this book would make an excellent introductory text.

The Red Book Of Varieties And Schemes

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Author : David Mumford
language : en
Publisher: Springer
Release Date : 2004-02-21

The Red Book Of Varieties And Schemes written by David Mumford and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-21 with Mathematics categories.

Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.

Lectures On Curves On An Algebraic Surface

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