Name: The Moment-Weight Inequality and the Hilbert-Mumford Criterion (en Inglés)
SKU: 63495133
Price: 173795.00 COP
Availability: InStock
Author: Dietmar Arno Salamon;Joel W. Robbin;Valentina Georgoulas
ISBN: 9783030893019

portada The Moment-Weight Inequality and the Hilbert-Mumford Criterion (en Inglés)

The Moment-Weight Inequality and the Hilbert-Mumford Criterion (en Inglés)

Formato

Libro Físico

Editorial

Springer Nature B.V.

Autor

Dietmar Arno Salamon;Joel W. Robbin;Valentina Georgoulas

Año

2021

Idioma

Inglés

N° páginas

202

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6 cm

ISBN13

9783030893019

The Moment-Weight Inequality and the Hilbert-Mumford Criterion (en Inglés)

Dietmar Arno Salamon;Joel W. Robbin;Valentina Georgoulas (Autor) · Springer Nature B.V. · Tapa Blanda

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Reseña del libro "The Moment-Weight Inequality and the Hilbert-Mumford Criterion (en Inglés)"

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.