Nash multiplicities and isolated points of maximum multiplicity Articles
Overview
published in
publication date
- June 2019
start page
- 2598
end page
- 2614
issue
- 6
volume
- 223
Digital Object Identifier (DOI)
full text
International Standard Serial Number (ISSN)
- 0022-4049
abstract
- Let X be an algebraic variety defined over a field of characteristic zero, and let ξ ∈ Max mult(X) be a point in the closed subset of maximum multiplicity of X. We provide a criterion, given in terms of arcs, to determine whether ξ is isolated in Max mult(X). More precisely, we use invariants of arcs derived from the Nash multiplicity sequence to characterize when ξ is an isolated point in Max mult(X).
Classification
subjects
- Mathematics
keywords
- arc spaces; resolution of singularities; rees algebras