The paper proves that ampleness of a divisor is equivalent to every subvariety being a cosupport of a multiplier ideal sheaf in the divisor's rational multiples, and equivalently to a model-categorical presentation of the Zariski site.
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Q-divisor and Ampleness
The paper proves that ampleness of a divisor is equivalent to every subvariety being a cosupport of a multiplier ideal sheaf in the divisor's rational multiples, and equivalently to a model-categorical presentation of the Zariski site.