PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Analytically principal part of polynomials at infinity

Volume 117 / 2016

Nguyễn Thảo Nguyên Bùi, Tiến-Sơn Phạm Annales Polonici Mathematici 117 (2016), 259-268 MSC: 14P10, 32S05, 58C27, 58K05. DOI: 10.4064/ap3560-4-2016 Published online: 2 August 2016

Abstract

Let $f \colon \mathbb{K}^n \rightarrow \mathbb{K}$ be a polynomial function, where $\mathbb{K} := \mathbb{R}$ or $\mathbb{C}.$ We give, in terms of the Newton boundary at infinity of $f,$ a sufficient condition for a deformation of $f$ to be analytically (smoothly in the case $\mathbb{K} := \mathbb{C}$) trivial at infinity.

Authors

  • Nguyễn Thảo Nguyên BùiDepartment of Pedagogy
    University of Dalat
    1 Phu Dong Thien Vuong
    Dalat, Vietnam
    e-mail
  • Tiến-Sơn PhạmInstitute of Research and Development
    Duy Tan University, K7/25
    Quang Trung
    Danang, Vietnam
    and
    Department of Mathematics
    University of Dalat
    1 Phu Dong Thien Vuong
    Dalat, Vietnam
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image