Contact loci and Hironaka's order
arXiv:1811.12203 · doi:10.1007/s00229-020-01235-w
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.
Sections 1 and 5 have been reorganized. Consequence of Theorem 7.1 restricted to complex case. To appear in Manuscripta Math. arXiv admin note: text overlap with arXiv:1802.02566