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The Momentweight Inequality And The Hilbertmumford Criterion Git From The Differential Geometric Viewpoint Valentina Georgoulas

Name: The Momentweight Inequality And The Hilbertmumford Criterion Git From The Differential Geometric Viewpoint Valentina Georgoulas
SKU: BELL-37677004
Price: 31.00 USD
Availability: InStock
Rating: 4 (6 reviews)

SKU: BELL-37677004

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The Momentweight Inequality And The Hilbertmumford Criterion Git From The Differential Geometric Viewpoint Valentina Georgoulas instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 2.31 MB

Pages: 200

Author: Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon

ISBN: 9783030892999, 3030892999

Language: English

Year: 2021

Product desciption

The Momentweight Inequality And The Hilbertmumford Criterion Git From The Differential Geometric Viewpoint Valentina Georgoulas by Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon 9783030892999, 3030892999 instant download after payment.

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.