English

Non-degenerate mixed functions

Algebraic Geometry 2009-09-11 v1

Abstract

Mixed functions are analytic functions in variables z1,...,znz_1,..., z_n and their conjugates zˉ1,...,zˉn\bar z_1,..., \bar z_n. We introduce the notion of Newton non-degeneracy for mixed functions and develop a basic tool for the study of mixed hypersurface singularities. We show the existence of a canonical resolution of the singularity, and the existence of the Milnor fibration under the strong non-degeneracy condition.

Keywords

Cite

@article{arxiv.0909.1904,
  title  = {Non-degenerate mixed functions},
  author = {Mutsuo Oka},
  journal= {arXiv preprint arXiv:0909.1904},
  year   = {2009}
}
R2 v1 2026-06-21T13:44:49.066Z