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arXiv · 1109.0439

A Lazard-like theorem for quasi-coherent sheaves

Sergio Estrada·Pedro A. Guil Asensio·Sinem Odabasi
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Abstract

We study filtration of quasi--coherent sheaves. We prove a version of Kaplansky Theorem for quasi--coherent sheaves, by using Drinfeld's notion of almost projective module and the Hill Lemma. We also show a Lazard-like theorem for flat quasi-coherent sheaves for quasi-compact and semi-separated schemes which satisfy the resolution property.

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Sergio Estrada, Pedro A. Guil Asensio, Sinem Odabasi. 2011-09-02. A Lazard-like theorem for quasi-coherent sheaves. https://arxiv.org/abs/1109.0439

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