TL;DR
This paper explores the concept of b-stability in Kähler-Einstein manifolds, extending existing arguments to advance towards a proof that such manifolds satisfy this stability condition.
Contribution
It extends Stoppa's argument to make progress on proving Kähler-Einstein manifolds are b-stable and highlights related algebraic questions about finite generation.
Findings
Progress towards proving Kähler-Einstein manifolds are b-stable
Identification of algebraic questions involving finite generation
Extension of existing stability arguments
Abstract
We extend an argument of Stoppa to make some prgress towards a proof that K\"ahler-Einstein manifolds are "b-stable". We point out some algebro-geometric questions, involving finite generation, that arise.
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Taxonomy
TopicsGeometry and complex manifolds