English

On some properties of the \L ojasiewicz exponent

Algebraic Geometry 2021-01-05 v3

Abstract

In this note, we study the behaviour of the Lojasiewicz exponent under hyperplane sections and its relation to the order of tangency.

Keywords

Cite

@article{arxiv.2003.13031,
  title  = {On some properties of the \L ojasiewicz exponent},
  author = {Christophe Eyral and Tadeusz Mostowski and Piotr Pragacz},
  journal= {arXiv preprint arXiv:2003.13031},
  year   = {2021}
}

Comments

8 pages; v3 improves the exposition of the proof of Theorem 2 and gives a new Observation 4 on the order of tangency and the Lojasiewicz exponent