| 书目名称 | The Moment-Weight Inequality and the Hilbert–Mumford Criterion |
| 副标题 | GIT from the Differe |
| 编辑 | Valentina Georgoulas,Joel W. Robbin,Dietmar Arno S |
| 视频video | |
| 概述 | Provides the first complete and thorough treatment of GIT from a differential geometric viewpoint.Treats Hamiltonian group actions on general, not necessarily projective, compact Kähler manifolds.Pres |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This book provides an introduction to geometric invariant theory from a differential geometric viewpoint. It is inspired by certain infinite-dimensional analogues of geometric invariant theory that arise naturally in several different areas of geometry. The central ingredients are the moment-weight inequality relating the Mumford numerical invariants to the norm of the moment map, the negative gradient flow of the moment map squared, and the Kempf--Ness function. The exposition is essentially self-contained, except for an appeal to the Lojasiewicz gradient inequality. A broad variety of examples illustrate the theory, and five appendices cover essential topics that go beyond the basic concepts of differential geometry. The comprehensive bibliography will be a valuable resource for researchers..The book is addressed to graduate students and researchers interested in geometric invariant theory and related subjects. It will be easily accessible to readers with a basic understanding of differential geometry and does not require any knowledge of algebraic geometry. . |
| 出版日期 | Book 2021 |
| 关键词 | Symplectic Geometry; Kähler Manifold; Hamiltonian Group Action; Moment Map; Mumford Weights; Kempf-Ness F |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-89300-2 |
| isbn_softcover | 978-3-030-89299-9 |
| isbn_ebook | 978-3-030-89300-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 19:06:48
