Stability, birational transformations and the Kahler-Einstein problem
Simon Donaldson
TL;DR
This paper introduces a new stability concept called 'b-stability' tailored to address the existence of Kahler-Einstein metrics on Fano manifolds, linking algebraic stability with differential geometry.
Contribution
The paper proposes the notion of 'b-stability' for polarized algebraic varieties, providing a new approach to the Kahler-Einstein existence problem on Fano manifolds.
Findings
'b-stability' offers a new criterion for Kahler-Einstein metrics
Connects algebraic stability with differential geometric properties
Potentially advances understanding of Fano manifold stability
Abstract
We define a new notion of "b-stability" for a polarised algebraic variety, adapted to the existence problem for Kahler-Einstein metrics on Fano manifolds.
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