On the localization theorem for F-pure rings
Commutative Algebra
2026-03-09 v3 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0710.3782,
title = {On the localization theorem for F-pure rings},
author = {Kazuma Shimomoto and Wenliang Zhang},
journal= {arXiv preprint arXiv:0710.3782},
year = {2026}
}
Comments
10 pages, published in Journal of pure and Applied Algebra