Volume and multiplicities of real analytic sets

• Autorzy: Guillaume Valette
• Języki publikacji: EN

Abstrakty

EN

We give criteria of finite determinacy for the volume and multiplicities. Given an analytic set described by {v = 0}, we prove that the log-analytic expansion of the volume of the intersection of the set and a "little ball" is determined by that of the set defined by the Taylor expansion of v up to a certain order if the mapping v has an isolated singularity at the origin. We also compare the cardinalities of finite fibers of projections restricted to such a set.

Kategorie tematyczne

• 57N80: Stratifications
• 32B20: Semi-analytic sets and subanalytic sets
• 58A20: Jets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 87
• Numer: 1
• Strony: 265-276

Daty

wydano

2005

Twórcy

autor

Guillaume Valette

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap87-0-22