A Lazard-like theorem for quasi-coherent sheaves

Estrada S.; Asensio P.A.G.; Odaba?i S.

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A Lazard-like theorem for quasi-coherent sheaves

机译：A Lazard-like theorem for quasi-coherent sheaves

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摘要

We study filtrations 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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来源
《Algebras and representation theory》 |2013年第4期|1193-1205|共13页
作者
Estrada S.; Asensio P.A.G.; Odaba?i S.;
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作者单位

Departamento de Matemática Aplicada, Universidad de Murcia, Campus Del Espinardo, 30100 Murcia, Spain;

Departamento de Matemáticas, Universidad de Murcia, Campus Del Espinardo, 30100 Murcia, Spain;

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原文格式 PDF
正文语种英语
中图分类 51.48;
关键词
Almost projective; Flat Mittag Leffler; Quasi-coherent sheaves; Vector bundle;

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A Lazard-like theorem for quasi-coherent sheaves

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