Dame Frances Clare Kirwan, DBE FRS (born 1959) is a British mathematician, currently a Professor of Mathematics at the University of Oxford. Her fields of specialisation are algebraic and symplectic geometry. http://en.wikipedia.org/wiki/Frances_Kirwan https://www.maths.ox.ac.uk/people/profiles/frances.kirwan

Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up 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 by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and...(展开全部)

中译名： 复代数曲面 世图书号： 978-7-5062-9203-0 原版书号： 978-0-521-42353-3 原出版社： Cambridge University Press 原版出版年代： 1992年 世图影印年代： 2008年 目录及部分内容页要览： 19世纪发展起来的复代数曲面理论，其良好的性质已经在数学的各个领域以及理论物理学中得到很好的应用，成为许多科目研究中心话题。本书源自Kirwan 在牛津大学的讲义，作者以本科生掌握的数学知识为基础引入了该理论，详细介绍了复代数曲面的代数和拓扑性质以及它们和复分析的联系。本书适于数学专业本科高年级研究生以及相关专业的研究人员。 目次：背景；基础知识；代数性质；拓扑性质；黎曼面；黎曼面上的微分；奇异曲面。

The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but withou...(展开全部)

Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor Beauville gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to...(展开全部)

Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor Beauville gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to...(展开全部)

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a fini...(展开全部)