A Lazard-like theorem for quasi-coherent sheaves
Algebraic Geometry
2011-09-05 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1109.0439,
title = {A Lazard-like theorem for quasi-coherent sheaves},
author = {Sergio Estrada and Pedro A. Guil Asensio and Sinem Odabasi},
journal= {arXiv preprint arXiv:1109.0439},
year = {2011}
}