Normal reduction numbers of normal surface singularities

Abstract

This article consists of two parts. The first part is a survey on the normal reduction numbers of normal surface singularities. It includes results on elliptic singularities, cone-like singularities and homogeneous hypersurface singularities. In the second part, we prove a new results on the normal reduction numbers and related invariants of Brieskorn complete intersections.

18 pages

References in corpus (2)

• Invariants of relatively generic structures on normal surface singularities
• The strong Rees property of powers of the maximal ideal and Takahashi-Dao's question