Arkadiusz Ploski

TITLE
Numerical semigroups and plane curve singularities (II)

ABSTRACT
The Abhyanhar–Moh inequality can be stated in terms of the semigroup associated with a unique branch at 
infinity of the given plane affine curve. It is a valuable tool for proving the Abhyankar–Moh embedding 
line theorem and the Moh–Ephraim pencil theorem. We will study the numerical semigroups with the AM property 
and present a geometrical characterization of such semigroups.

BIBLIOGRAPHY
[1] E. Garcia Barroso, J. Gwozdziewicz, A. Ploski. Semigroups corresponding to branches at infinity of 
coordinate lines in the affine plane, Semigroups Forum 92 (3), pp. 534–540, 2016
[2] R.D. Barrolleta, E. Garcia Barroso, A. Ploski. On the Abhyankar–Moh inequality, Univ. Iag. Acta Math 52 
(2015), pp. 7–14