Title
On the shape of possible counterexamples to the Jacobian Conjecture
Date Issued
01 February 2017
Access level
open access
Resource Type
journal article
Author(s)
Publisher(s)
Academic Press Inc.
Abstract
We improve the algebraic methods of Abhyankar for the Jacobian Conjecture in dimension two and describe the shape of possible counterexamples. We give an elementary proof of the result of Heitmann in [5], which states that gcd(deg(P),deg(Q))≥16 for any counterexample (P,Q). We also prove that gcd(deg(P),deg(Q))≠2p for any prime p.
Start page
13
End page
74
Volume
471
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-84988847930
Source
Journal of Algebra
ISSN of the container
00218693
Source funding
Consejo Nacional de Investigaciones Científicas y Técnicas
Sponsor(s)
Jorge A. Guccione and Juan J. Guccione were supported by PIP 112-200801-00900 (CONICET).
Sources of information:
Directorio de Producción Científica
Scopus