A remark on the Donaldson-Futaki invariant for sequences of test configurations

2013/07/28 by Toshiki Mabuchi, Mabuchi, Toshiki
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1307.7350

Abstract

In this note, we consider a sequence of test configurations compatible with a Kaehler metric in c₁(L) on a polarized algebraic manifold (X,L). Then an explicit formula for the Donaldson-Futaki invariant F₁ for the sequence will be given.

Related

• The Donaldson-Futaki invariant for sequences of test configurations
• Test configurations and Geodesic rays
• The Einstein-Hilbert functional and the Donaldson-Futaki invariant
• Localizing the Donaldson-Futaki invariant
• A generalization of Ross-Thomas' slope theory