Publication:
Contact loci and Hironaka's order

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2021-09
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Springer
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We study contact loci sets of arcs and the behavior of Hironaka’s order function defined in constructive Resolution of singularities. We show that this function can be read in terms of the irreducible components of the contact loci sets at a singular point of an algebraic variety.
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Bravo, A., Encinas, S. & Pascual-Escudero, B. (2020). Contact loci and Hironaka’s order. Manuscripta mathematica, 166(1–2), 131–165.