Some Results On The Jacobian Conjecture And Polynomial Automorphisms

Details Some Results On The Jacobian Conjecture And Polynomial Automorphisms Some Results On The Jacobian Conjecture And Polynomial Automorphisms

2011-09-15

arxiv.org/abs/1109.3246v1

Mathematics

Algebraic Geometry

5pages

Scientific paper

In this paper, we will first show that, the homogeneous polynomials which satisfy the Jacobian condition are injective on the lines that pass through the origin. Secondly, we will show that $F$ and $G'$ are paired, where $F$ is a Druzkowski map and $G'$ is a cubic homogeneous polynomial which related to $F$. Finally, we will find a more exactly bound for the degree of $F^{-1}$, where $F$ is a invertible map.

Affiliated with

Also associated with

No associations

Rating

Some Results On The Jacobian Conjecture And Polynomial Automorphisms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some Results On The Jacobian Conjecture And Polynomial Automorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Results On The Jacobian Conjecture And Polynomial Automorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-672295