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

Toshiki Mabuchi

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arXiv · 1307.7350

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

Toshiki Mabuchi

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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.

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Toshiki Mabuchi. 2013-07-31. A remark on the Donaldson-Futaki invariant for sequences of test configurations. https://arxiv.org/abs/1307.7350

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