Contact loci and Hironaka's order Articles uri icon

publication date

  • September 2021

start page

  • 131

end page

  • 165

issue

  • 1-2

volume

  • 166

International Standard Serial Number (ISSN)

  • 0025-2611

Electronic International Standard Serial Number (EISSN)

  • 1432-1785

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 an algebraic variety.

subjects

  • Mathematics