Contact loci and Hironaka's order

Published 27 Nov 2018 in math.AG | (1811.12203v3)

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.

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