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The Moment-Weight Inequality and the Hilbert–Mumford Criterion : GIT from the Differential Geometric Viewpoint / by Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon
(Lecture Notes in Mathematics. ISSN:16179692 ; 2297)
版 | 1st ed. 2021. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2021 |
大きさ | VII, 192 p. 3 illus. in color : online resource |
著者標目 | *Georgoulas, Valentina author Robbin, Joel W author Salamon, Dietmar Arno author SpringerLink (Online service) |
件 名 | LCSH:Geometry, Differential LCSH:Algebraic geometry FREE:Differential Geometry FREE:Algebraic Geometry |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-3-030-89300-2 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030893002 |
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EB00210876 |