Atypical values at infinity of real polynomial maps with $2$-dimensional fibers

Autor:	Ishikawa, Masaharu, Nguyen, Tat-Thang
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Geometry Primary 58K15 Secondary 14D06 55R10 58K05
Druh dokumentu:	Working Paper
Popis:	We characterize atypical values at infinity of a real polynomial function of three variables by a certain sum of indices of the gradient vector field of the function restricted to a sphere with a sufficiently large radius. This is an analogy of a result of Coste and de la Puente for real polynomial functions with two variables. We also give a characterization of atypical values at infinity of a real polynomial map whose regular fibers are $2$-dimensional surfaces. Comment: 18 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.12709 Zobrazit plný text záznamu View this record from Arxiv