Overview
- 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
- Presents another route to many of the main results of Mumford's theory which will have long lasting significance
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2297)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (14 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
Authors and Affiliations
About the authors
Joel W. Robbin was born in Chicago in 1941 and completed his PhD at Princeton University in 1965 under the direction of Alonzo Church. After a postdoctoral position in Princeton he took up an Assistant Professorship at the University of Wisconsin-Madson in 1967, where he became full Professor in 1973, and emeritus in 2010. Joel Robbin began his research in mathematical logic (and wrote a text book on this subject) and later moved on to dynamical systems and symplectic topology. In 1970 he proved a conjecture by Stephen Smale which asserts that Axiom A implies structural stability. His publications include a book on "Matrix Algebra" and a joint book with Ralph Abraham on "Transversal Mappings and Flows". He is a Fellow of the American Mathematical Society.
Dietmar A. Salamon was born in Bremen in 1953 and completed his PhD at the University of Bremen in 1982 under the direction of Diederich Hinrichsen. After postdoctoral positions in Madison and Zrich, he took up a position at the University Warwick in 1986, and moved to ETH Zurich in 1998. His field of research is symplectic topology and related subjects. He was an invited speaker at the ECM 1992 in Paris, at the ICM 1994 in Zurich, and at the ECM 2000 in Barcelona. He delivered the Andrejewski Lectures in Goettingen (1998) and at the Humboldt Unversity Berlin (2005), and the Xth Lisbon Summer lectures in Geometry (2009). He is the author of several text books and research momgraphs including two joint books with Dusa McDuff entitled "Introduction to Symplectic Topology" and "J-holomorphic Curves and Symplectic Topology" for which they received the Leroy P. Steele Prize for Mathematical Exposition in 2017.
Bibliographic Information
Book Title: The Moment-Weight Inequality and the Hilbert–Mumford Criterion
Book Subtitle: GIT from the Differential Geometric Viewpoint
Authors: Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-89300-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-89299-9Published: 21 November 2021
eBook ISBN: 978-3-030-89300-2Published: 01 January 2022
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 192
Number of Illustrations: 3 illustrations in colour
Topics: Differential Geometry, Algebraic Geometry