English

On the connectivity of Milnor fiber for mixed functions

Algebraic Geometry 2018-09-05 v1

Abstract

In this note, we prove the connectivity of the Milnor fiber for a mixed polynomial f(z,zˉ)f(\mathbf z,\bar{\mathbf z}), assuming the existence of a sequence of smooth points of f1(0)f^{-1}(0) converging to the origin. This result gives also a another proof for the connectivity of the Milnor fiber of a non-reduced complex analytic function which is proved by A. Dimca

Keywords

Cite

@article{arxiv.1809.00545,
  title  = {On the connectivity of Milnor fiber for mixed functions},
  author = {Mutsuo Oka},
  journal= {arXiv preprint arXiv:1809.00545},
  year   = {2018}
}

Comments

7 pages, 1 figure