English

Singularities of functions with harmonic leading terms of two variables

Differential Geometry 2015-11-24 v3

Abstract

We study the classification problem of singularities of function-germs with harmonic leading terms of two variables under the right-equivalence. We study the classification in the cases that the order of function-germs is at most 7. Moreover, we observe that the multiple actions of Laplacian appear for the classifications of such class of function-germs.

Keywords

Cite

@article{arxiv.1511.03340,
  title  = {Singularities of functions with harmonic leading terms of two variables},
  author = {Yuki Yasuda},
  journal= {arXiv preprint arXiv:1511.03340},
  year   = {2015}
}