D. Yan

activity

20112026

most citedSome Remarks on the Jacobian Conjecture and Dru{ż}kowski mappings

10 citations · 34 across the 18 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.AG2012★ 8 cited

A note on the Jacobian Conjecture

Dan Yan

In this note, we show that, if the Druzkowski mappings $F (X) = X + (A X)^{* 3}$ , i.e. $F (X) = (x_{1} + (a_{11} x_{1} + ... + a_{1 n} x_{n})^{3}, ..., x_{n} + (a_{n 1} x_{1} + ... + a_{nn} x_{n})^{3})$ , satisfies $TrJ((AX)^{*…

math.AG2012★ 6 cited

Some remarks on the Jacobian conjecture and polynomial endomorphisms

Dan Yan, Michiel de Bondt

In this paper, we first show that homogeneous Keller maps are injective on lines through the origin. We subsequently formulate a generalization, which is that under some conditions…