Absolutely isolated singularities of holomorphic maps of ℂⁿ tangent to the identity

Feng Rong

Vol. 246 (2010), No. 2, 421–433

DOI: 10.2140/pjm.2010.246.421

Abstract

Let f be a holomorphic map of ℂⁿ tangent to the identity, with an absolutely isolated singularity. We show that there exists a finite blow-up sequence which reduces f to a map with only simple singularities.

Keywords

absolutely isolated singularities, holomorphic maps tangent to the identity

Mathematical Subject Classification 2000

Primary: 32S05

Secondary: 32H50

Milestones

Received: 21 May 2009

Accepted: 2 September 2009

Published: 1 June 2010