# Distinguished bases and monodromy of complex hypersurface singularities

**Authors:** Wolfgang Ebeling

arXiv: 1905.12435 · 2019-05-30

## TL;DR

This paper surveys the topological study of isolated complex hypersurface singularities, emphasizing distinguished bases of vanishing cycles and monodromy using Picard-Lefschetz theory.

## Contribution

It provides a comprehensive overview of the role of distinguished bases and monodromy in understanding hypersurface singularities.

## Key findings

- Clarifies the concept of distinguished bases of vanishing cycles
- Explains the application of Picard-Lefschetz theory to singularities
- Highlights the importance of monodromy in topological analysis

## Abstract

We give a survey on some aspects of the topological investigation of isolated singularities of complex hypersurfaces by means of Picard-Lefschetz theory. We focus on the concept of distinguished bases of vanishing cycles and the concept of monodromy.

## Full text

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## Figures

10 figures with captions in the complete paper: https://tomesphere.com/paper/1905.12435/full.md

## References

142 references — full list in the complete paper: https://tomesphere.com/paper/1905.12435/full.md

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Source: https://tomesphere.com/paper/1905.12435