Kähler-Einstein metrics: Old and New

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2017-10-15 DOI:10.1515/coma-2017-0014

Daniele Angella, Cristiano Spotti

引用次数: 2

Abstract

Abstract We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.

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Kähler-Einstein参数:新旧

摘要本文给出了紧复流形上Kähler-Einstein度量的经典和最新结果，重点讨论了稳定性(k -稳定性)的存在性、障碍及其与代数几何概念的关系。这些是2017年5月在意大利科尔托纳由C.S.教授的SMI课程“Kähler-Einstein metrics”的笔记。本材料并非原创。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.