论文标题

通过限制注射对象的DG升级独特性

Uniqueness of dg-lifts via restriction to injective objects

论文作者

Genovese, Francesco

论文摘要

我们证明了DG-Lifts的独特性结果,用于分离的Noetherian方案之间的平坦形态的衍生推送和回溯函数,即在未绑定或有限的类别类别的类别类别之间。该技术纯粹是代数类别的,涉及从其限制中重建DG-LIFT到注射对象的子类别。

We prove a uniqueness result of dg-lifts for the derived pushforward and pullback functors of a flat morphism between separated Noetherian schemes, between the unbounded or bounded below derived categories of quasi-coherent sheaves. The technique is purely algebraic-categorical and involves reconstructing dg-lifts uniquely from their restrictions to the subcategories of injective objects.

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