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On flat generators and Matlis duality for quasicoherent sheaves
Bulletin of the London Mathematical Society ( IF 0.9 ) Pub Date : 2020-08-06 , DOI: 10.1112/blms.12398
Alexander Slávik 1 , Jan Šťovíček 1
Affiliation  

We show that for a quasicompact quasiseparated scheme X , the following assertions are equivalent: (1) the category QCoh ( X ) of all quasicoherent sheaves on X has a flat generator; (2) for every injective object E of QCoh ( X ) , the internal hom functor into E is exact; (3) the scheme X is semiseparated.

中文翻译:

在扁平发电机上和准相干滑轮的Matlis对偶

我们证明了对于拟紧凑拟分离方案 X ,以下声明是等效的:(1)类别 QCoh X 上所有准相干滑轮 X 具有扁平发电机;(2)对于每个内射对象 Ë QCoh X ,内部hom函子变成 Ë 是准确的;(3)方案 X 是半分隔的。
更新日期:2020-08-06
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