ScalingStacks

Claim 1 [028Y]

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Claim 1

. Let γ\gamma be a closed positive (1,1)(1,1)-current with bounded local potentials over a compact complex manifold XX of complex dimension nn and let φ,ψ∈𝒫γ\varphi,\,\psi\in{\cal P}_{\gamma} such that 0≤φ≤10\leq\varphi\leq 1 and ψ≤0\psi\leq 0. Then

∫X−ψγnφ≤∫X−ψγn+n∫Xγn.\displaystyle\int\limits_{X}-\psi\,\gamma^{n}_{\varphi}\;\leq\int\limits_{X}-\psi\,\gamma^{n}+n\int\limits_{X}\,\gamma^{n}\,. (2.2)

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