Complex Projective Geometry
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Algebraic Geometry I
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Author : David Mumford
language : en
Publisher: Springer
Release Date : 1976
Algebraic Geometry I 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 1976 with Mathematics categories.
An Algebraic Introduction To Complex Projective Geometry
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Author : Christian Peskine
language : en
Publisher:
Release Date : 1996
An Algebraic Introduction To Complex Projective Geometry written by Christian Peskine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Functions of complex variables categories.
Perspectives On Projective Geometry
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Author : Jürgen Richter-Gebert
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-04
Perspectives On Projective Geometry written by Jürgen Richter-Gebert 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 2011-02-04 with Mathematics categories.
Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.
Complex Projective Geometry
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Author : G. Ellingsrud
language : en
Publisher: Cambridge University Press
Release Date : 1992-07-30
Complex Projective Geometry written by G. Ellingsrud 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 1992-07-30 with Mathematics categories.
A volume of papers describing new methods in algebraic geometry.
Complex Projective Geometry
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Author : Geir Ellingsrud
language : en
Publisher:
Release Date : 2014-05-14
Complex Projective Geometry written by Geir Ellingsrud and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Algebraic varieties categories.
A volume of papers describing new methods in algebraic geometry.
Vector Bundles On Complex Projective Spaces
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Author : Christian Okonek
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-24
Vector Bundles On Complex Projective Spaces written by Christian Okonek 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 2011-06-24 with Mathematics categories.
These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi?cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these ?elds are summarized at the beginning. One of the authors gave a survey in the S ́eminaire Bourbaki 1978 on the current state of the classi?cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G ̈ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di?cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents.
An Algebraic Introduction To Complex Projective Geometry
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Author : Christian Peskine
language : en
Publisher:
Release Date : 1843
An Algebraic Introduction To Complex Projective Geometry written by Christian Peskine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1843 with Mathematics categories.
In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to the fundamentals of complex projective geometry, requiring only a basic knowledge of linear and multilinear algebra and some elementary group theory. The author divides the book into three parts. In the first, he develops the general theory of noetherian rings and modules. He includes a certain amount of homological algebra, and he emphasizes rings and modules of fractions as preparation for working with sheaves. In the second part, he discusses polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalization lemma and Hilbert's Nullstellensatz, the author introduces affine complex schemes and their morphisms; he then proves Zariski's main theorem and Chevalley's semi-continuity theorem. Finally, the author's detailed study of Weil and Cartier divisors provides a solid background for modern intersection theory. This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra.
Projective Geometry
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Author : Pierre Samuel
language : en
Publisher: Springer
Release Date : 1988-09-12
Projective Geometry written by Pierre Samuel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-09-12 with Mathematics categories.
The purpose of this book is to revive some of the beautiful results obtained by various geometers of the 19th century, and to give its readers a taste of concrete algebraic geometry. A good deal of space is devoted to cross-ratios, conics, quadrics, and various interesting curves and surfaces. The fundamentals of projective geometry are efficiently dealt with by using a modest amount of linear algebra. An axiomatic characterization of projective planes is also given. While the topology of projective spaces over real and complex fields is described, and while the geometry of the complex projective libe is applied to the study of circles and Möbius transformations, the book is not restricted to these fields. Interesting properties of projective spaces, conics, and quadrics over finite fields are also given. This book is the first volume in the Readings in Mathematics sub-series of the UTM. From the reviews: "...The book of P. Samuel thus fills a gap in the literature. It is a little jewel. Starting from a minimal background in algebra, he succeeds in 160 pages in giving a coherent exposition of all of projective geometry. ... one reads this book like a novel. " D.Lazard in Gazette des Mathématiciens#1
Complex Projective Geometry
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Author : G. Ellingsrud
language : en
Publisher:
Release Date : 1992
Complex Projective Geometry written by G. Ellingsrud and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Algebraic varieties categories.
A volume of papers describing new methods in algebraic geometry.
Complex Surfaces And Connected Sums Of Complex Projective Planes
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Author : B. Moishezon
language : en
Publisher: Springer
Release Date : 2006-11-15
Complex Surfaces And Connected Sums Of Complex Projective Planes written by B. Moishezon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.