𝔖 Scriptorium
✦   LIBER   ✦

📁

An introduction to extremal Kähler metrics

✍ Scribed by Székelyhidi, Gábor


Publisher
AMS
Year
2014
Tongue
English
Leaves
210
Series
GSM 152
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Table of Contents


Cover
Title page
Contents
Preface
Introduction
Kähler geometry
Analytic preliminaries
Kähler-Einstein metrics
Extremal metrics
Moment maps and geometric invariant theory
K-stability
The Bergman kernel
CscK metrics on blow-ups
Bibliography
Index
Back Cover

✦ Subjects


Differential geometry, Algebraic geometry


📜 SIMILAR VOLUMES


An introduction to extremal Kähler metr
✍ Gabor Szekelyhidi 📂 Library 📅 2014 🏛 American Mathematical Society 🌐 English

A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in

An Introduction to Extremal Kahler Metri
✍ Gabor Szekelyhidi 📂 Library 📅 2014 🏛 American Mathematical Society 🌐 English

A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in

An Introduction to Extremal Kahler Metri
✍ Gabor Szekelyhidi 📂 Library 📅 2014 🏛 American Mathematical Society 🌐 English

A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in

An Introduction to the Kähler-Ricci Flow
✍ Sébastien Boucksom, Philippe Eyssidieux (auth.), Sebastien Boucksom, Philippe Ey 📂 Library 📅 2013 🏛 Springer International Publishing 🌐 English

<p><p>This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, t

An Introduction to the Kähler-Ricci Flow
✍ Sébastien Boucksom, Philippe Eyssidieux (auth.), Sebastien Boucksom, Philippe Ey 📂 Library 📅 2013 🏛 Springer International Publishing 🌐 English

<p><p>This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, t

Canonical metrics in Kähler geometry
✍ G. Tian 📂 Library 📅 2000 🏛 Birkhäuser 🌐 English

There has been fundamental progress in complex differential geometry in the last two decades. For one, The uniformization theory of canonical Kähler metrics has been established in higher dimensions, and many applications have been found, including the use of Calabi-Yau spaces in superstring theory.