Links of complex analytic singularities
Complex Variables
2013-03-22 v3 Algebraic Geometry
Abstract
This is a part survey part research paper studying the local topology of complex analytic spaces. We review and strengthen the results of Kapovich--Koll\'ar "Fundamental groups of links of isolated singularities" (1109.4047) and incorporate the paper "Dual graphs of exceptional divisors" (1203.2640) into the current one. A new result is the characterization of the fundamental group of links of Cohen-Macaulay singularities. The last section lists numerous open problems and conjectures. Version 2: Questions 62--65 revised following comments of Shaneson and Maxim. Version 3: Many small changes, especially in section about Questions and Problems.
Keywords
Cite
@article{arxiv.1209.1754,
title = {Links of complex analytic singularities},
author = {János Kollár},
journal= {arXiv preprint arXiv:1209.1754},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1203.2640