On the moduli of Kähler-Einstein Fano manifolds

By Y. Odaka. 2012

68 citations recorded by the source corpus.

We prove that Kahler-Einstein Fano manifolds with finite automorphism groups form Hausdorff moduli algebraic space with only quotient singularities. We also discuss the limits as Q-Fano varieties which should be put on the boundary of its canonical compactification.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e581dcdc0692868e924db08f14d78fac866af065

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

In Geometry and Topology

Citations in the corpus

K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics (2012, background): “This is related to the expectation that one may be able to form compact moduli spaces of K-polystable Fano varieties if singular ones are included, or more precisely those with log terminal singularities; compare the discussions in [54] and [53] (where the surface case is considered).”
Uniform stability of twisted constant scalar curvature K\"ahler metrics (2014, methodology): “By Odaka-Sun [31, Corollary 3.6], to check log K-stability, it is equivalent to show that DFlog(B,L r − E,D) > 0 for all flag ideals with Lr − E relatively semi-ample over P1.”
On K‐stability and the volume functions of ℚ‐Fano varieties (2015, unknown): “See [42] and [17] for general frameworks.”