Contact loci and Hironaka's order
Algebraic Geometry
2021-08-19 v3
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.
Keywords
Cite
@article{arxiv.1811.12203,
title = {Contact loci and Hironaka's order},
author = {A. Bravo and S. Encinas and B. Pascual-Escudero},
journal= {arXiv preprint arXiv:1811.12203},
year = {2021}
}
Comments
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