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arXiv · 1502.06196

The Pure derived category of quasi-coherent sheaves

Esmaeil Hosseini
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Abstract

Let X be a quasi-compact and quasi-separated (not necessarily semiseparated) scheme. The category QcoX of all quasi-coherent sheaves of OX-modules has several diferent pure derived categories. Recently, categorical pure derived categories of X have been studied in more details. In this work, we focus on the geometrical purity and find replacements for geometrical pure derived categories of X.

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Esmaeil Hosseini. 2015-02-22. The Pure derived category of quasi-coherent sheaves. https://arxiv.org/abs/1502.06196

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