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- W2927832948 abstract "Let R be a noetherian local domain. The aim of this paper is to characterize the sequences ( R i ) i ≥ 0 of successive quadratic transforms of R = R 0 such that S = ⋃ i ≥ 0 R i is a valuation ring. These characterizations involve ideals of S supported on the exceptional divisors along the sequence. Furthermore, the characterizations are improved remarkably when the Hilbert functions of the rings ( R i ) i ≥ 0 stabilize along the sequence. We also give some examples to put our results in perspective." @default.
- W2927832948 created "2019-04-11" @default.
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- W2927832948 date "2019-07-01" @default.
- W2927832948 modified "2023-09-29" @default.
- W2927832948 title "Sequences of quadratic transforms of a noetherian local domain" @default.
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- W2927832948 doi "https://doi.org/10.1016/j.jalgebra.2019.03.027" @default.
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