Analytically principal part of polynomials at infinity

Nguyễn Thảo Nguyên Bùi¹ ; Tiến-Sơn Phạm²

¹ Department of Pedagogy University of Dalat 1 Phu Dong Thien Vuong Dalat, Vietnam
² Institute 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

Annales Polonici Mathematici, Tome 117 (2016) no. 3, pp. 259-268.

Résumé

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.

Détail

DOI : 10.4064/ap3560-4-2016

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