Complex Algebraic Curves


Complex Algebraic Curves
Author: Frances Clare Kirwan
Publisher: Cambridge University Press
ISBN: 9780521423533
Size: 64.38 MB
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Complex Algebraic Curves

eBook File: Complex-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 Geometry III
Language: en
Pages: 270
Authors: A.N. Parshin, Игорь Ростиславович Шафаревич
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: Springer Science & Business Media
Starting with the end of the seventeenth century, one of the most interesting directions in mathematics (attracting the attention as J. Bernoulli, Euler, Jacobi, Legendre, Abel, among others) has been the study of integrals of the form r dz l Aw(T) = -, TO W where w is an algebraic
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 Geometry I
Language: en
Pages: 310
Authors: V.I. Danilov, V.V. Shokurov
Categories: Mathematics
Type: BOOK - Published: 2006-12-15 - Publisher: Springer Science & Business Media
"... 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
Algebraic Curves
Language: en
Pages: 231
Authors: Maxim E. Kazaryan, Sergei K. Lando, Victor V. Prasolov
Categories: Mathematics
Type: BOOK - Published: 2019-01-21 - Publisher: Springer
This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well. The book begins by studying individual smooth algebraic
Algebraic Curves, the Brill and Noether Way
Language: en
Pages: 224
Authors: Eduardo Casas-Alvero
Categories: Mathematics
Type: BOOK - Published: 2019-12-05 - Publisher: Springer
The book presents the central facts of the local, projective and intrinsic theories of complex algebraic plane curves, with complete proofs and starting from low-level prerequisites. It includes Puiseux series, branches, intersection multiplicity, Bézout theorem, rational functions, Riemann-Roch theorem and rational maps. It is aimed at graduate and advanced undergraduate
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
An Introduction to Algebraic Geometry
Language: en
Pages: 246
Authors: Kenji Ueno
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.
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
Real Algebraic Geometry
Language: en
Pages: 100
Authors: Vladimir I. Arnold
Categories: Mathematics
Type: BOOK - Published: 2013-04-15 - Publisher: Springer Science & Business Media
This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images. At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his
Principles of Algebraic Geometry
Language: en
Pages: 832
Authors: Phillip Griffiths, Joseph Harris
Categories: Mathematics
Type: BOOK - Published: 2014-08-21 - Publisher: John Wiley & Sons
A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold