Nash multiplicities and isolated points of maximum multiplicity |
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Authors: | Beatriz Pascual-Escudero |
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Institution: | Depto. Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid and Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Cantoblanco 28049 Madrid, Spain |
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Abstract: | Let X be an algebraic variety defined over a field of characteristic zero, and let be a point in the closed subset of maximum multiplicity of X. We provide a criterion, given in terms of arcs, to determine whether ξ is isolated in . More precisely, we use invariants of arcs derived from the Nash multiplicity sequence to characterize when ξ is an isolated point in . |
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Keywords: | 14E15 14J17 Arc spaces Resolution of singularities Rees algebras |
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