A Guide to Plane Algebraic Curves PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Guide to Plane Algebraic Curves PDF full book. Access full book title A Guide to Plane Algebraic Curves by Keith Kendig. Download full books in PDF and EPUB format.
Author: Keith Kendig
Publisher: MAA
ISBN: 0883853531
Category : Mathematics
Languages : en
Pages : 211
Get Book Here
Book Description
An accessible introduction to the plane algebraic curves that also serves as a natural entry point to algebraic geometry. This book can be used for an undergraduate course, or as a companion to algebraic geometry at graduate level.
Author: Keith Kendig
Publisher: MAA
ISBN: 0883853531
Category : Mathematics
Languages : en
Pages : 211
Get Book Here
Book Description
An accessible introduction to the plane algebraic curves that also serves as a natural entry point to algebraic geometry. This book can be used for an undergraduate course, or as a companion to algebraic geometry at graduate level.
Author: Keith Kendig
Publisher: American Mathematical Soc.
ISBN: 1614442037
Category : Mathematics
Languages : en
Pages : 193
Get Book Here
Book Description
An accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry.
Author: J. Dennis Lawrence
Publisher: Courier Corporation
ISBN: 0486167666
Category : Mathematics
Languages : en
Pages : 244
Get Book Here
Book Description
DIVOne of the most beautiful aspects of geometry. Information on general properties, derived curves, geometric and analytic properties of each curve. 89 illus. /div
Author: Harold Hilton
Publisher:
ISBN:
Category : Curves, Algebraic
Languages : en
Pages : 416
Get Book Here
Book Description
Author: Ernst Kunz
Publisher: Springer Science & Business Media
ISBN: 0817644431
Category : Mathematics
Languages : en
Pages : 286
Get Book Here
Book Description
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook
Author: J. W. P. Hirschfeld
Publisher: Princeton University Press
ISBN: 1400847419
Category : Mathematics
Languages : en
Pages : 717
Get Book Here
Book Description
This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stöhr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.
Author: Frances Clare Kirwan
Publisher: Cambridge University Press
ISBN: 9780521423533
Category : Mathematics
Languages : en
Pages : 278
Get Book Here
Book Description
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: Gerd Fischer
Publisher: American Mathematical Soc.
ISBN: 0821821229
Category : Mathematics
Languages : en
Pages : 249
Get Book Here
Book Description
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: Joe Harris
Publisher: Springer Science & Business Media
ISBN: 0387227377
Category : Mathematics
Languages : en
Pages : 381
Get Book Here
Book Description
A guide to a rich and fascinating subject: algebraic curves and how they vary in families. Providing a broad but compact overview of the field, this book is accessible to readers with a modest background in algebraic geometry. It develops many techniques, including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory, with the focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, illustrates typical applications with the proofs of the Brill-Noether and Gieseker-Petri theorems via limit linear series, and surveys the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important topics which are not covered in detail.
Author: Joachim Kock
Publisher: Springer Science & Business Media
ISBN: 0817644954
Category : Mathematics
Languages : en
Pages : 162
Get Book Here
Book Description
Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves Viewpoint is mostly that of enumerative geometry Emphasis is on examples, heuristic discussions, and simple applications to best convey the intuition behind the subject Ideal for self-study, for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory
