---

＜電子ブック＞
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.
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

 類似資料