On the localization theorem for F-pure rings

Fuente: arXiv
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Hauptverfasser: Shimomoto, Kazuma, Zhang, Wenliang
Format: Preprint
Veröffentlicht: 2007
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author Shimomoto, Kazuma
Zhang, Wenliang
author_facet Shimomoto, Kazuma
Zhang, Wenliang
contents We solve Grothendieck's localization problem for certain class of rings arising from the tight closure theory. The idea of the proof depends heavily on the study of the relative version of the Frobenius map.
format Preprint
id arxiv_https___arxiv_org_abs_0710_3782
institution arXiv
publishDate 2007
record_format arxiv
spellingShingle On the localization theorem for F-pure rings
Shimomoto, Kazuma
Zhang, Wenliang
Commutative Algebra
Algebraic Geometry
13A35, 13B10
We solve Grothendieck's localization problem for certain class of rings arising from the tight closure theory. The idea of the proof depends heavily on the study of the relative version of the Frobenius map.
title On the localization theorem for F-pure rings
topic Commutative Algebra
Algebraic Geometry
13A35, 13B10
url https://arxiv.org/abs/0710.3782