ScalingStacks

Lemma 6.7 . [01BB]

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Lemma 6.7.

If φ∈ℰ1​(X,ω)\varphi\in\mathcal{E}^{1}(X,\omega), then MA(φ⟨t⟩){φ≤−t}=o(t−1)\MA(\varphi^{\langle t\rangle})\{\varphi\leq-t\}=o(t^{-1}) as t→∞t\to\infty; hence φ\varphi has full Monge-Ampère mass.

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