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- W2898631598 abstract "Given an equicharacteristic Noetherian complete local domain R and a rational valuation (nu ) on R we show that there exist an algebra (S=widehat{k[(u_i)_{iin I}]}) equipped with a weight, or monomial valuation, and a surjection (pi :Srightarrow R) such that the valuation (nu ) is induced by the weight on S in the sense that (nu (x)) is the maximum weight of counterinages of x in S. Moreover, the kernel of (pi ) is generated by overweight deformations of binomials corresponding to a generating system of the relations between generators ((gamma _i)_{iin I}) of the semigroup (Gamma =nu (Rsetminus {0})). In all this, the index set I is an ordinal (le omega ^{mathrm{dim}R})." @default.
- W2898631598 created "2018-11-09" @default.
- W2898631598 creator A5023496857 @default.
- W2898631598 date "2018-01-01" @default.
- W2898631598 modified "2023-09-25" @default.
- W2898631598 title "Valuations on Equicharacteristic Complete Noetherian Local Domains" @default.
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- W2898631598 doi "https://doi.org/10.1007/978-3-030-00027-1_6" @default.
- W2898631598 hasPublicationYear "2018" @default.
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