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The vanishing of  implies that  is regular |
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| Authors: | Ian M Aberbach |
| Institution: | Department of Mathematics, University of Missouri, Columbia, Missouri 65211 |
| Abstract: | Let  be an excellent local ring of positive prime characteristic. We show that if  , then  is regular. This improves a result of Schoutens, in which the additional hypothesis that  was an isolated singularity was required for the proof. |
| Keywords: | Regular rings characteristic $p$ absolute integral closure |
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