Algebraic Geometry Over The Complex Numbers
DOWNLOAD eBooks
Download Algebraic Geometry Over The Complex Numbers PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Algebraic Geometry Over The Complex Numbers book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Algebraic Geometry Over The Complex Numbers
DOWNLOAD eBooks
Author :
language : en
Publisher:
Release Date : 2012-02-16
Algebraic Geometry Over The Complex Numbers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-16 with categories.
Algebraic Geometry Over The Complex Numbers
DOWNLOAD eBooks
Author : Donu Arapura
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-15
Algebraic Geometry Over The Complex Numbers written by Donu Arapura 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 2012-02-15 with Mathematics categories.
This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.
Geometric Invariant Theory
DOWNLOAD eBooks
Author : Nolan R. Wallach
language : en
Publisher: Springer
Release Date : 2017-09-08
Geometric Invariant Theory written by Nolan R. Wallach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-08 with Mathematics categories.
Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in mathematics and physics with diverse backgrounds in algebraic and differential geometry. Throughout the book, examples are emphasized. Exercises add to the reader’s understanding of the material; most are enhanced with hints. The exposition is divided into two parts. The first part, ‘Background Theory’, is organized as a reference for the rest of the book. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature. Chapter 1 emphasizes the relationship between the Zariski topology and the canonical Hausdorff topology of an algebraic variety over the complex numbers. Chapter 2 develops the interaction between Lie groups and algebraic groups. Part 2, ‘Geometric Invariant Theory’ consists of three chapters (3–5). Chapter 3 centers on the Hilbert–Mumford theorem and contains a complete development of the Kempf–Ness theorem and Vindberg’s theory. Chapter 4 studies the orbit structure of a reductive algebraic group on a projective variety emphasizing Kostant’s theory. The final chapter studies the extension of classical invariant theory to products of classical groups emphasizing recent applications of the theory to physics.
Abelian Varieties Over The Complex Numbers
DOWNLOAD eBooks
Author : Herbert Lange
language : en
Publisher: Springer Nature
Release Date : 2023-03-15
Abelian Varieties Over The Complex Numbers written by Herbert Lange and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-15 with Mathematics categories.
This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry. The emphasis is on geometric constructions over the complex numbers, notably the construction of important classes of abelian varieties and their algebraic cycles. The book begins with complex tori and their line bundles (theta functions), naturally leading to the definition of abelian varieties. After establishing basic properties, the moduli space of abelian varieties is introduced and studied. The next chapters are devoted to the study of the main examples of abelian varieties: Jacobian varieties, abelian surfaces, Albanese and Picard varieties, Prym varieties, and intermediate Jacobians. Subsequently, the Fourier–Mukai transform is introduced and applied to the study of sheaves, and results on Chow groups and the Hodge conjecture are obtained. This book is suitable for use as the main text for a first course on abelian varieties, for instance as a second graduate course in algebraic geometry. The variety of topics and abundant exercises also make it well suited to reading courses. The book provides an accessible reference, not only for students specializing in algebraic geometry but also in related subjects such as number theory, cryptography, mathematical physics, and integrable systems.
Introduction To The Geometry Of Complex Numbers
DOWNLOAD eBooks
Author : Roland Deaux
language : en
Publisher: Courier Corporation
Release Date : 2008-03-05
Introduction To The Geometry Of Complex Numbers written by Roland Deaux and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-05 with Mathematics categories.
Geared toward readers unfamiliar with complex numbers, this text explains how to solve problems that frequently arise in the applied sciences and emphasizes constructions related to algebraic operations. 1956 edition.
Complex Numbers From A To Z
DOWNLOAD eBooks
Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-08
Complex Numbers From A To Z written by Titu Andreescu 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 2007-10-08 with Mathematics categories.
* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory
An Introduction To Algebraic Geometry
DOWNLOAD eBooks
Author : Kenji Ueno
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
An Introduction To Algebraic Geometry written by Kenji Ueno 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 1997 with Mathematics categories.
This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.
Algebraic Geometry
DOWNLOAD eBooks
Author : Thomas A. Garrity
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-02-01
Algebraic Geometry written by Thomas A. Garrity 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 2013-02-01 with Mathematics categories.
Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex
Complex Numbers And Geometry
DOWNLOAD eBooks
Author : Liang-shin Hahn
language : en
Publisher: Cambridge University Press
Release Date : 1994
Complex Numbers And Geometry written by Liang-shin Hahn 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 1994 with Mathematics categories.
This book demonstrates how complex numbers and geometry can be blended together to give easy proofs of many theorems in plane geometry.
Rudiments Of Algebraic Geometry
DOWNLOAD eBooks
Author : W.E. Jenner
language : en
Publisher: Courier Dover Publications
Release Date : 2018-01-16
Rudiments Of Algebraic Geometry written by W.E. Jenner and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-16 with Mathematics categories.
Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. Topics include affine spaces, projective spaces, rational curves, algebraic sets with group structure, more. 1963 edition.