Some classes satisfying the 2-dimensional Jacobian conjecture and a proof of the complex conjecture until degree 104

Thuy Nguyen

REVIEW

Some classes satisfying the 2-dimensional Jacobian conjecture and a proof of the complex conjecture until degree 104

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1902.05923 v5 pith:QI6ZQN3V submitted 2019-02-15 math.AG

Thuy Nguyen This is my paper · ORCID

classification math.AG

keywords conjecturejacobiancomplexdegreeclassesdimensionalmapspolynomial

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

We construct a non-proper set of two variables polynomial maps and study the nowhere vanishing Jacobian condition of the Jacobian conjecture for this set. We obtain some classes of polynomial maps satisfying the 2-dimensional Jacobian conjecture for both real and complex cases. In addition, by Newton polygon technique, we prove that the complex conjecture is true until degree 104, improving Moh boundary (degree 100) since 1983.

Discussion (0). Continue with ORCID to comment.

Pith tools