Algebraic Curves And Projective Geometry PDF Download
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Author | : Frances Clare Kirwan |
Publisher | : Cambridge University Press |
Total Pages | : 278 |
Release | : 1992-02-20 |
Genre | : Mathematics |
ISBN | : 9780521423533 |
Download Complex Algebraic Curves Book in PDF, ePub and Kindle
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
Author | : Edoardo Ballico |
Publisher | : Springer |
Total Pages | : 293 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540481885 |
Download Algebraic Curves and Projective Geometry Book in PDF, ePub and Kindle
Author | : David Goldschmidt |
Publisher | : Springer Science & Business Media |
Total Pages | : 195 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 0387224459 |
Download Algebraic Functions and Projective Curves Book in PDF, ePub and Kindle
This book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic geometry and proceeding directly via valuation theory to the main results on function fields. It also develops the theory of singular curves by studying maps to projective space, including topics such as Weierstrass points in characteristic p, and the Gorenstein relations for singularities of plane curves.
Author | : Edoardo Ballico |
Publisher | : |
Total Pages | : 296 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662166079 |
Download Algebraic Curves and Projective Geometry Book in PDF, ePub and Kindle
Author | : Rick Miranda |
Publisher | : American Mathematical Soc. |
Total Pages | : 414 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0821802682 |
Download Algebraic Curves and Riemann Surfaces Book in PDF, ePub and Kindle
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. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage. But the main examples come fromprojective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves andcohomology are introduced as a unifying device in the later chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.
Author | : A. Seidenberg |
Publisher | : Courier Corporation |
Total Pages | : 244 |
Release | : 2012-06-14 |
Genre | : Mathematics |
ISBN | : 0486154734 |
Download Lectures in Projective Geometry Book in PDF, ePub and Kindle
An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.
Author | : Gerd Fischer |
Publisher | : American Mathematical Soc. |
Total Pages | : 249 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821821229 |
Download Plane Algebraic Curves Book in PDF, ePub and Kindle
This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.
Author | : V.I. Danilov |
Publisher | : Springer Science & Business Media |
Total Pages | : 328 |
Release | : 1998-03-17 |
Genre | : Mathematics |
ISBN | : 9783540637059 |
Download Algebraic Geometry I Book in PDF, ePub and Kindle
"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum
Author | : William Fulton |
Publisher | : Addison Wesley Publishing Company |
Total Pages | : 256 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : |
Download Algebraic Curves Book in PDF, ePub and Kindle
Author | : Mauro Beltrametti |
Publisher | : European Mathematical Society |
Total Pages | : 512 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9783037190647 |
Download Lectures on Curves, Surfaces and Projective Varieties Book in PDF, ePub and Kindle
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.