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arXiv · 1305.6411

A remark on Li-Xu's pathology

Toshiki Mabuchi
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Abstract

For test configurations, the Donaldson-Futaki invariant F_1 is well-known. In this note, its refinement will be discussed. Then we see that Li-Xu's pathology doesn't occur, since their example of a non-normal test configuration, with trivial normalization, actually has non-vanishing F_1 in this refined sense.

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Toshiki Mabuchi. 2013-07-16. A remark on Li-Xu's pathology. https://arxiv.org/abs/1305.6411

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