Nash multiplicities and isolated points of maximum multiplicity Articles uri icon

authors

  • PASCUAL ESCUDERO, BEATRIZ

publication date

  • June 2019

start page

  • 2598

end page

  • 2614

issue

  • 6

volume

  • 223

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).

subjects

  • Mathematics

keywords

  • arc spaces; resolution of singularities; rees algebras