Corpus ID: 54074834

^-REGULARITY , TEST ELEMENTS , AND SMOOTH BASE CHANGE

@inproceedings{Hochster2010REGULARITYT,
  title={^-REGULARITY , TEST ELEMENTS , AND SMOOTH BASE CHANGE},
  author={M. Hochster and C. Huneke},
  year={2010}
}
This paper deals with tight closure theory in positive characteristic. After a good deal of preliminary work in the first five sections, including a treatment of F-rationality and a treatment of F-regularity for Gorenstein rings, a very widely applicable theory of test elements for tight closure is developed in §6 and is then applied in §7 to prove that both tight closure and F-regularity commute with smooth base change under many circumstances (where "smooth" is used to mean flat with… Expand

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