| 书目名称 | Geometric Invariant Theory |
| 副标题 | Over the Real and Co |
| 编辑 | Nolan R. Wallach |
| 视频video | |
| 概述 | Designed for non-mathematicians, physics students as well for example, who want to learn about this important area of mathematics.Well organized and touches upon the main subjects, which offer a deepe |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | .Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in mathematics and physics with diverse backgrounds in algebraic and differential geometry. Throughout the book, examples are emphasized. Exercises add to the reader’s understanding of the material; most are enhanced with hints. ..The exposition is divided into two parts. The first part, ‘Background Theory’, is organized as a reference for the rest of the book. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature. Chapter 1 emphasizes the relationship between the Zariski topology and the canonical Hausdorff topology of an algebraic variety over the complex numbers. Chapter 2 develops the interaction between Lie groups and algebraic groups. Part 2, ‘Geometric Invariant Theory’ consists of three chapters (3–5). Chapter 3 centers on the Hilbert–Mumford theorem and contains a complete development of the Kempf–Ness |
| 出版日期 | Textbook 2017 |
| 关键词 | Hilbert-Mumford theorem; Kostant cone; Lie theory and invariant theory; algebraic geometry; geometric in |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-65907-7 |
| isbn_softcover | 978-3-319-65905-3 |
| isbn_ebook | 978-3-319-65907-7Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Nolan R. Wallach 2017 |
发表于 2025-3-21 18:36:51
