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- W3017054167 abstract "This paper develops our previous work on properness of a class of maps related to the Jacobian conjecture. The paper has two main parts: - In part 1, we explore properties of the of non-proper values $S_f$ (as introduced by Z. Jelonek) of these maps. In particular, using a general criterion for non-properness of these maps, we show that under a generic condition (to be precise later) $S_f$ contains $0$ if it is non-empty. This result is related to a conjecture in our previous paper. We obtain this by use of a dual set to $S_f$, particularly designed for the special class of maps. - In part 2, we use the non-properness criteria obtained in our work to construct a counter-example to the proposed proof in arXiv:2002.10249 of the Jacobian conjecture. In the conclusion, we present some comments pertaining the Jacobian conjecture and properness of polynomial maps in general." @default.
- W3017054167 created "2020-04-24" @default.
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- W3017054167 date "2020-04-07" @default.
- W3017054167 modified "2023-09-27" @default.
- W3017054167 title "Some observations on the properness of identity plus linear powers: part 2" @default.
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