Complex Algebraic Curves


Complex Algebraic Curves
Author: Frances Clare Kirwan
Publisher: Cambridge University Press
ISBN: 9780521423533
Size: 57.84 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, the Brill and Noether Way
Language: en
Pages: 224
Authors: Eduardo Casas-Alvero
Categories: Mathematics
Type: BOOK - Published: 2019-11-30 - Publisher: Springer Nature
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
Algebraic Geometry I
Language: en
Pages: 310
Authors: V.I. Danilov, V.V. Shokurov
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - 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 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
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
Plane Algebraic Curves
Language: en
Pages: 231
Authors: Gerd Fischer
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.
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.
Computational Aspects of Algebraic Curves
Language: en
Pages:
Authors: Gerd Fischer
Categories: Mathematics
Type: BOOK - Published: - Publisher:
Books about Computational Aspects of Algebraic Curves
Geometry of Projective Algebraic Curves
Language: en
Pages: 409
Authors: Makoto Nanba
Categories: Mathematics
Type: BOOK - Published: 1984 - Publisher: Marcel Dekker Incorporated
Books about Geometry of Projective Algebraic Curves
A Scrapbook of Complex Curve Theory
Language: en
Pages: 188
Authors: Charles Herbert Clemens
Categories: Mathematics
Type: BOOK - Published: 2002-12-10 - Publisher: American Mathematical Soc.
This fine book by Herb Clemens quickly became a favorite of many algebraic geometers when it was first published in 1980. It has been popular with novices and experts ever since. It is written as a book of ``impressions'' of a journey through the theory of complex algebraic curves. Many