2016/05/30 by Guccione, Jorge A., Guccione, Juan J., Valqui, Christian
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1605.09430
We prove that if the Jacobian Conjecture in two variables is false and (P,Q) is a standard minimal pair, then the Newton polygon HH(P) of P must satisfy several restrictions that had not been found previously. This allows us to discard some of the corners found in [GGV, Remark 7.14] for HH(P), together with some of the infinite families found in [H, Theorem~2.25]