Test configurations and Geodesic rays

Abstract

For smooth test configurations, there always exist C^{1,1} geodesic rays in Kahler metric space parallel to the algebraic ray. The $\yen$ invariant agrees with Futaki invariant, at least under nice assumptions. Explicit examples in Toric cases are calculated. On simple test configurations, Donaldson's correspondence between HCMA solution and holomorphic disc family is extended.

30 pages

References in corpus (2)

• Geometry of Kähler Metrics and Foliations by Holomorphic Discs
• A note on the $K$-stability on toric manifolds

Cited by in corpus (1)

• Space of Kähler metrics (IV)--On the lower bound of the K-energy