Contact loci and Hironaka's order

Bravo, A.; Encinas, S.; Pascual Escudero, Beatriz

Contact loci and Hironaka's order

Author(s): Bravo, A.; Encinas, S.; Pascual Escudero, Beatriz

Publisher: Springer

Issued date: 2021-09

Citation: Bravo, A., Encinas, S. & Pascual-Escudero, B. (2020). Contact loci and Hironaka’s order. Manuscripta mathematica, 166(1–2), 131–165.

ISSN: 0025-2611

DOI: https://doi.org/10.1007/s00229-020-01235-w

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: The authors were partially supported by MTM2015-68524-P; The first author was partially supported from the Spanish Ministry of Economy and Competitiveness, through the "Severo Ochoa" Programme for Centres of Excellence in R&D (SEV-2015-0554).

Project: Gobierno de España. MTM2015-68524-P

URI: http://hdl.handle.net/10016/33985

Abstract:

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 [+]

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