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Approximating discrete valuation rings by regular local rings |
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| Authors: | William Heinzer Christel Rotthaus Sylvia Wiegand |
| Institution: | Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395 ; Department of Mathematics, Michigan State University, East Lansing, Michigan 48824-1027 ; Department of Mathematics and Statistics, University of Nebraska, Lincoln, Nebraska 68588-0323 |
| Abstract: | Let  be a field of characteristic zero and let  be a discrete rank-one valuation domain containing  with  . Assume that the fraction field  of  has finite transcendence degree  over  . For every positive integer  , we prove that  can be realized as a directed union of regular local  -subalgebras of  of dimension  . |
| Keywords: | Discrete rank-one valuation domain \'{e}tale extension excellent ring Henselization local uniformization regular local domain |
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