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- W1557217577 abstract "Let k be a field of characteristic zero and let (V, n) be a discrete rank-one valuation domain containing k with V/n = k. Assume that the fraction field L of V has finite transcendence degree s over k. For every positive integer d < s, we prove that V can be realized as a directed union of regular local k-subalgebras of V of dimension d." @default.
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- W1557217577 date "2000-07-27" @default.
- W1557217577 modified "2023-09-23" @default.
- W1557217577 title "Approximating discrete valuation rings by regular local rings" @default.
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- W1557217577 doi "https://doi.org/10.1090/s0002-9939-00-05492-7" @default.
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