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The Moment-Weight Inequality and the Hilbert–Mumford Criterion = GIT from the Differential Geometric Viewpoint /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Moment-Weight Inequality and the Hilbert–Mumford Criterion/ by Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon.
其他題名:	GIT from the Differential Geometric Viewpoint /
作者:	Georgoulas, Valentina.
其他作者:	Salamon, Dietmar Arno.
面頁冊數:	VII, 192 p. 3 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic Geometry. -
電子資源:	https://doi.org/10.1007/978-3-030-89300-2
ISBN:	9783030893002

The Moment-Weight Inequality and the Hilbert–Mumford Criterion = GIT from the Differential Geometric Viewpoint /
Georgoulas, Valentina.

The Moment-Weight Inequality and the Hilbert–Mumford CriterionGIT from the Differential Geometric Viewpoint /[electronic resource] :by Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon. - 1st ed. 2021. - VII, 192 p. 3 illus. in color.online resource. - Lecture Notes in Mathematics,22971617-9692 ;. - Lecture Notes in Mathematics,2144.

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.

ISBN: 9783030893002

Standard No.: 10.1007/978-3-030-89300-2doiSubjects--Topical Terms:

670184
Algebraic Geometry.

LC Class. No.: QA641-670

Dewey Class. No.: 516.36

The Moment-Weight Inequality and the Hilbert–Mumford Criterion = GIT from the Differential Geometric Viewpoint /
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