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Arnold, V., Varchenko, A. and Goussein-Zadé, S. (1986) Singularités des applications différentiables. éditions Mir Moscou. (Original Edition in Russian, 1982)

has been cited by the following article:

• TITLE: A Remark on the Topology at Infinity of a Polynomial Mapping F: Cn→Cn via Intersection Homology

  AUTHORS: Nguyen Thi Bich Thuy

  KEYWORDS: Polynomial Mappings, Intersection Homology, Singularities

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.13, December 28, 2016

  ABSTRACT: In [1], Guillaume and Anna Valette associate singular varieties VF to a polynomial mapping . In the case , if the set K0(F) of critical values of F is empty, then F is not proper if and only if the 2-dimensional homology or intersection homology (with any perversity) of VF is not trivial. In [2], the results of [1] are generalized in the case where n≥3, with an additional condition. In this paper, we prove that for a class of non-proper generic dominant polynomial mappings, the results in [1] and [2] hold also for the case that the set K0(F) is not empty.