ON THE TOPOLOGY OF POLYNOMIAL MAPPINGS FROM ℂn TO ℂn-1-Reference-Cited by-同舟云学术

ON THE TOPOLOGY OF POLYNOMIAL MAPPINGS FROM ℂn TO ℂn-1

Published:2011-03 Issue:03 Volume:22 Page:435-448
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

VUI HA HUY¹,THANG NGUYEN TAT¹

Affiliation:

1. Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay District, 10307, Hanoi, Vietnam

Abstract

We consider a polynomial map from ℂn to ℂn-1 and prove that if there exists a so-called very good projection with respect to the value t0, then this value is an atypical value for the map if and only if the Euler characteristic of the fibers are not constant. We describe some topology of the fibers and prove that there is no extension of the characterization of the atypical value via the Lojasiewicz number as in the case n = 2.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11006842

Reference15 articles.

1. On the topology of polynomial functions on algebraic surfaces in ℂⁿ

2. On the generalized critical values of a polynomial mapping

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