Valuations dominating regular local rings and proximity relations |
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Authors: | A. Granja,M.C. Martí nez |
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Affiliation: | a Dpto. de Matemáticas, Universidad de León, 24071-León, Spain b Dpto. de Matemática Aplicada, Universidad de Valladolid, 47014-Valladolid, Spain |
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Abstract: | We study zero-dimensional valuations dominating a regular local ring of dimension n≥2. For this we introduce the proximity matrix and the multiplicity sequence (extending classical definitions of the case n=2) that are associated with the sequence of the successive quadratic transforms of the ring along the valuation. We describe the precise relations between these invariants and study their properties. |
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Keywords: | 13F30 13H05 |
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