Weighted homogeneous surface singularities homeomorphic to Brieskorn complete intersections

2020/10/18 by Okuma, Tomohiro
#14B05 #32S05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 32S25 #Secondary 14J17

paper · doi:10.48550/arxiv.2010.08940

Abstract

For a given topological type of a normal surface singularity, there are various types of complex structures which realize it. We are interested in the following problem: Find the maximum of the geometric genus and a condition for that the maximal ideal cycle coincides with the undamental cycle on the minimal good resolution. In this paper, we study weighted homogeneous surface singularities homeomorphic to Brieskorn complete intersection singularities from the perspective of the problem.

Related

• The possible values of geometric genera of normal surface singularities
• Topology, geometry, and equations of normal surface singularities
• Normal reduction numbers of normal surface singularities
• The embedding dimension of weighted homogeneous surface singularities
• Normal surface singularities of small degrees