Weighted homogeneous surface singularities homeomorphic to Brieskorn complete intersections
Algebraic Geometry
2025-12-16 v3
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.
Cite
@article{arxiv.2010.08940,
title = {Weighted homogeneous surface singularities homeomorphic to Brieskorn complete intersections},
author = {Tomohiro Okuma},
journal= {arXiv preprint arXiv:2010.08940},
year = {2025}
}
Comments
24 pages. Version2: deleted Remark 2.7, added Remark 4.16, improved the last remark, and minor corrections. Version 3: minor changes; Lemma 4.3 and Proposition 4.9 are improved