ScalingStacks

Lemma 3.25 . [050U]

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Lemma 3.25.

2​−1​Γ2\sqrt{-1}\Gamma is the Chern connection 1-form of the normal bundle N0N_{0} with respect to the above hermitian holomorphic structure, in the local holomorphic frame σ\sigma. In other words,

(3.289) Γ=12​dHc​log⁡|σ|.\Gamma=\frac{1}{2}d^{c}_{H}\log|\sigma|.

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