通过对内射对象的限制，dg-升降机具有唯一性

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-04-29 DOI:10.1112/jlms.70166

Francesco Genovese

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引用次数: 0

摘要

我们证明了在分离的noether格式之间，在拟相干束的无界或有界的派生范畴之间的平面态射的导出的推退函子的g-提升的唯一性结果。该技术是纯代数范畴的，涉及到从它们的限制到单射对象的子范畴唯一地重建dg-lift。

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Uniqueness of dg-lifts via restriction to injective objects

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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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.