On Milnor fibrations of mixed functions, $a_f$-condition and boundary stability

Mutsuo Oka

On Milnor fibrations of mixed functions, $a_f$-condition and boundary stability

Algebraic Geometry 2014-09-24 v2

Authors: Mutsuo Oka

Abstract

Convenient mixed functions with strongly non-degenerate Newton boundaries have Milnor fibrations, as the isolatedness of the singularity follows from the convenience. In this paper, we consider the Milnor fibration for non-convenient mixed functions. We also study geometric properties such as Thom's $a_f$ condition, the transversality of the nearby fibers and stable boundary property of the Milnor fibration and their relations.

Keywords

mixed functions Milnor fibrations Newton boundaries Thom's $a_f$-condition singularity theory boundary stability

Cite

@article{arxiv.1409.5275,
  title  = {On Milnor fibrations of mixed functions, $a_f$-condition and boundary stability},
  author = {Mutsuo Oka},
  journal= {arXiv preprint arXiv:1409.5275},
  year   = {2014}
}

Comments

21 pages, 1 figure

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