RT journal article
T1 Conductors of Abhyankar-Moh semigroups of even degrees
A1 García Barroso, Evelia R.
A1 García García, Juan Ignacio
A1 Santana Sánchez, Luis José
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Abhyankar-Moh inequality
K1 conductor
K1 gluing of semigroups
K1 branch at infinity
K1 Abhyankar-Moh semigroups
AB In their paper on the embeddings of the line in the plane, Abhyankar and Moh proved animportant inequality, now known as the Abhyankar-Moh inequality, which can be stated in terms of thesemigroup associated with the branch at infinity of a plane algebraic curve. Barrolleta, Garc´ıa Barrosoand Płoski studied the semigroups of integers satisfying the Abhyankar-Moh inequality and call themAbhyankar-Moh semigroups. They described such semigroups with the maximum conductor. In this paperwe prove that all possible conductor values are achieved for the Abhyankar-Moh semigroups of evendegree. Our proof is constructive, explicitly describing families that achieve a given value as its conductor.
PB American Mathematical Society
SN 2688-1594
YR 2023
FD 2023
LK http://hdl.handle.net/10498/32568
UL http://hdl.handle.net/10498/32568
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026