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

Abstract

In this note, we consider a sequence of test configurations compatible with a Kaehler metric in $c_1(L)$ on a polarized algebraic manifold $(X,L)$. Then an explicit formula for the Donaldson-Futaki invariant $F_1$ for the sequence will be given.

References in corpus (2)

• Filtrations and test-configurations
• Stability of extremal Kähler manifolds