ScalingStacks

Lemma A.1 . [01CN]

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Lemma A.1.

Fix α∈N1​(X)\alpha\in N^{1}(X) any ample class. Then the following assertions are equivalent:

  1. (1)

    For any form θ\theta such that {θ}=α\{\theta\}=\alpha and any continuous function ff, the pair (θ,f)(\theta,f) satisfies the orthogonality property.

  2. (2)

    For any form θ\theta such that {θ}=α\{\theta\}=\alpha and any model function ff, the pair (θ,f)(\theta,f) satisfies the orthogonality property.

  3. (3)

    For any form θ\theta such that {θ}=α\{\theta\}=\alpha, the pair (θ,0)(\theta,0) satisfies the orthogonality property.

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