Monodromy

Wolfgang Ebeling

Monodromy

代数几何 2007-05-23 v1

作者: Wolfgang Ebeling

摘要

Let $(X,x)$ be an isolated complete intersection singularity and let $f : (X,x) \to (\CC,0)$ be the germ of an analytic function with an isolated singularity at $x$ . An important topological invariant in this situation is the Picard-Lefschetz monodromy operator associated to $f$ . We give a survey on what is known about this operator. In particular, we review methods of computation of the monodromy and its eigenvalues (zeta function), results on the Jordan normal form of it, definition and properties of the spectrum, and the relation between the monodromy and the topology of the singularity.

关键词

zeta functions singularity theory univalent functions

引用

@article{arxiv.math/0507171,
  title  = {Monodromy},
  author = {Wolfgang Ebeling},
  journal= {arXiv preprint arXiv:math/0507171},
  year   = {2007}
}

备注

Survey article for the Proceedings of the Conference "Singularities and Computer Algebra" on Occasion of Gert-Martin Greuel's 60th Birthday, LMS Lecture Notes (to appear)

Monodromy

摘要

关键词

引用

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