Stability, birational transformations and the Kahler-Einstein problem
By Simon Donaldson. 2010
74 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9e01c13f7fdff60882a1a7b77657ced4fcf912d0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- G'abor Sz'ekelyhidi
- Song Sun
- Chi Li
- Simon Donaldson
- Robert J. Berman
- G. Tian
- Xiuxiong Chen
- R. Dervan
In Geometry and Topology
- G'abor Sz'ekelyhidi
- Song Sun
- Chi Li
- Simon Donaldson
- Robert J. Berman
- G. Tian
- Xiuxiong Chen
- R. Dervan
Citations in the corpus
- K‐Stability and Kähler‐Einstein Metrics (2012, methodology): “Since M does not admit nonzero holomorphic fields,5 it follows from [23] that (2.”
- Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II (2015, background): “As in [15] (Proof of Proposition 1), we can find an equivariant slice for the action.”
- Filtrations and test-configurations (2011, background): “Then the result in [6] is the following Theorem 13 (Donaldson [6]) Suppose that X admits a cscK metric in c1(L), and the automorphism group of (X, L) is finite.”