Complex Algebraic Curves


Algebraic Curves
Author: Frances Clare Kirwan
Publisher: Cambridge University Press
ISBN: 9780521423533
Size: 21.21 MB
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Complex Algebraic Curves

eBook File: Algebraic-curves.PDF Book by Frances Clare Kirwan, Complex Algebraic Curves Books available in PDF, EPUB, Mobi Format. Download Complex Algebraic Curves books, 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.


Complex Algebraic Curves
Language: en
Pages: 264
Authors: Frances Clare Kirwan, Frances Kirwan
Categories: Mathematics
Type: BOOK - Published: 1992-02-20 - Publisher: Cambridge University Press
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
Algebraic Curves
Language: en
Pages: 201
Authors: Robert J. Walker
Categories: Mathematics
Type: BOOK - Published: 1991-07-01 - Publisher: Springer
This book was written to furnish a starting point for the study of algebraic geometry. The topics presented and methods of presenting them were chosen with the following ideas in mind; to keep the treat ment as elementary as possible, to introduce some of the recently devel oped algebraic methods
Singular Algebraic Curves
Language: en
Pages: 553
Authors: Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin
Categories: Mathematics
Type: BOOK - Published: 2019-01-31 - Publisher: Springer
Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of
Elementary Geometry of Algebraic Curves
Language: en
Pages: 250
Authors: C. G. Gibson
Categories: Mathematics
Type: BOOK - Published: 1998-11-26 - Publisher: Cambridge University Press
Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. From the familiar lines
Geometry of Algebraic Curves
Language: en
Pages: 387
Authors: Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, Joseph Daniel Harris
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media
In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in
Algebraic Curves over a Finite Field
Language: en
Pages: 744
Authors: J. W. P. Hirschfeld, G. Korchmáros, F. Torres
Categories: Mathematics
Type: BOOK - Published: 2013-03-25 - Publisher: Princeton University Press
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
Algebraic Curves and Riemann Surfaces
Language: en
Pages: 390
Authors: Rick Miranda
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.
The book was easy to understand, with many examples. The exercises were well chosen, and served to give further examples and developments of the theory. --William Goldman, University of Maryland In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex
Algebraic Curves and One-Dimensional Fields
Language: en
Pages: 214
Authors: Fedor Bogomolov, Tihomir Petrov
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.
This text covers the essential topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. It demonstrates how curves can act as a natural introduction to algebraic geometry.
Codes and Algebraic Curves
Language: en
Pages: 208
Authors: Oliver Pretzel
Categories: Mathematics
Type: BOOK - Published: 1998-01-08 - Publisher: Clarendon Press
The geometry of curves has fascinated mathematicians for 2500 years, and the theory has become highly abstract. Recently links have been made with the subject of error correction, leading to the creation of geometric Goppa codes, a new and important area of coding theory. This book is an updated and
Algebraic Curves Over Finite Fields
Language: en
Pages: 246
Authors: Carlos Moreno
Categories: Mathematics
Type: BOOK - Published: 1993-10-14 - Publisher: Cambridge University Press
Develops the theory of algebraic curves over finite fields, their zeta and L-functions and the theory of algebraic geometric Goppa codes.