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|a 9783030893002
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| 100 |
1 |
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|a Georgoulas, Valentina
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| 245 |
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|a The Moment-Weight Inequality and the Hilbert–Mumford Criterion
|h Elektronische Ressource
|b GIT from the Differential Geometric Viewpoint
|c by Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon
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| 250 |
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|a 1st ed. 2021
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2021, 2021
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| 300 |
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|a VII, 192 p. 3 illus. in color
|b online resource
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| 653 |
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|a Geometry, Differential
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| 653 |
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|a Algebraic Geometry
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| 653 |
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|a Algebraic geometry
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| 653 |
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|a Differential Geometry
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| 700 |
1 |
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|a Robbin, Joel W.
|e [author]
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| 700 |
1 |
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|a Salamon, Dietmar Arno
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Lecture Notes in Mathematics
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-030-89300-2?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 516.36
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| 520 |
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|a 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
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