K\"ahler-Einstein metrics and algebraic structures on limit spaces
Simon Donaldson

TL;DR
This paper provides an expository overview of Kähler-Einstein metrics and their relation to algebraic structures on limit spaces, highlighting recent developments in the field.
Contribution
It offers a detailed exposition connecting Kähler-Einstein metrics with algebraic geometry on limit spaces, based on lecture notes from 2014.
Findings
Clarifies the relationship between Kähler-Einstein metrics and algebraic structures
Summarizes recent progress in understanding limit spaces in complex geometry
Provides insights into the geometric and algebraic interplay in Kähler-Einstein theory
Abstract
This is an expository article, closely following the author's lecture at the 2014 Journal Differential Geometry conference.
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