English

The Pure derived category of quasi-coherent sheaves

Algebraic Geometry 2019-01-29 v7

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.

Keywords

Cite

@article{arxiv.1502.06196,
  title  = {The Pure derived category of quasi-coherent sheaves},
  author = {Esmaeil Hosseini},
  journal= {arXiv preprint arXiv:1502.06196},
  year   = {2019}
}

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