ScalingStacks

Proof. [030U]

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Proof.

By [16], Exercise 23.2, we have

qM​(E,σ)​∫Mσ2​n=2​qM​(σ)​∫Mσ2​n−1∧f∗​ωN≠0,q_{M}(E,\sigma)\int_{M}\sigma^{2n}=2q_{M}(\sigma)\int_{M}\sigma^{2n-1}\wedge f^{*}\omega_{N}\not=0,

so qM​(E,σ)≠0q_{M}(E,\sigma)\not=0. ∎

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