RT info:eu-repo/semantics/article
T1 Nash multiplicities and resolution invariants
A1 Bravo, Ana
A1 Encinas Carrión, Santiago
A1 Pascual Escudero, Beatriz
K1 Algebra
K1 Resolution of singularities
AB The Nash multiplicity sequence was defined by M. Lejeune-Jalabert as a non-increasing sequence of integers attached to a germ of a curve inside a germ of a hypersurface. M. Hickel generalized this notion and described a sequence of blow ups which allows us to compute it and study its behavior. In this paper, we show how this sequence can be used to compute some invariants that appear in algorithmic resolution of singularities. Moreover, this indicates that these invariants from constructive resolution are intrinsic to the variety since they can be read in terms of its space of arcs. This result is a first step connecting explicitly arc spaces and algorithmic resolution of singularities.
PB Springer
SN 0010-0757
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/35894
UL http://uvadoc.uva.es/handle/10324/35894
LA eng
NO Collectanea Mathematica, 2017, vol. 68, n. 2, p. 175–217
NO Producción Científica
DS UVaDOC
RD 26-abr-2024