论文标题

定位唐纳森·福塔基不变

Localizing the Donaldson-Futaki invariant

论文作者

Legendre, Eveline

论文摘要

我们使用均等的定位公式来证明唐纳森·富塔基(Donaldson-Futaki)不变(k {ä} hler)测试配置与诱导动作的Futaki在中央光纤上的futaki不变性相吻合时,当该光纤平滑或具有Orbifold奇异性时。我们还将变形的唐纳森·福塔基(Donaldson-Futaki)定位为正常锥体。

We use the equivariant localization formula to prove that the Donaldson-Futaki invariant of a compact smooth (K{ä}hler) test configuration coincides with the Futaki invariant of the induced action on the central fiber when this fiber is smooth or have orbifold singularities. We also localize the Donaldson-Futaki invariant of the deformation to the normal cone.

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