摘要
In [1], Guillaume and Anna Valette associate singular varieties V<sub>F </sub>to a polynomial mapping . In the case , if the set K<sub>0</sub>(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 </sub>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 K<sub>0</sub>(F) is not empty.
In [1], Guillaume and Anna Valette associate singular varieties V<sub>F </sub>to a polynomial mapping . In the case , if the set K<sub>0</sub>(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 </sub>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 K<sub>0</sub>(F) is not empty.
作者
Nguyen Thi Bich Thuy
Nguyen Thi Bich Thuy(UNESP, Universidade Estadual Paulista, “Júlio de Mesquita Filho”, São José do Rio Preto, Brazil)
