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arXiv · 1209.1754

Links of complex analytic singularities

János Kollár
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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--Kollár "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.

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János Kollár. 2013-03-21. Links of complex analytic singularities. https://arxiv.org/abs/1209.1754

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