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- W2121483695 abstract "Let X be an algebraic variety of characteristic zero. Terminal valuations are defined in the sense of the minimal model program, as those valuations given by the exceptional divisors on a minimal model over X. We prove that every terminal valuation over X is in the image of the Nash map, and thus it corresponds to a maximal family of arcs through the singular locus of X. In dimension two, this result gives a new proof of the theorem of Fern'andez de Bobadilla and Pe Pereira stating that, for surfaces, the Nash map is a bijection." @default.
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- W2121483695 date "2015-04-21" @default.
- W2121483695 modified "2023-10-09" @default.
- W2121483695 title "Terminal valuations and the Nash problem" @default.
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- W2121483695 doi "https://doi.org/10.1007/s00222-015-0597-5" @default.
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