English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In their paper on the embeddings of the line in the plane, Abhyankar and Mohproved an important inequality, now known as the Abhyankar-Moh inequality,which can be stated in terms of the semigroup associated with the branch atinfinity of a plane algebraic curve. Barrolleta, Garc\'ia Barroso and P\loskistudied the semigroups of integers satisfying the Abhyankar-Moh inequality andcall them Abhyankar-Moh semigroups. They described such semigroups with themaximum conductor. In this paper we prove that all possible conductor valuesare achieved for the Abhyankar-Moh semigroups of even degree. Our proof isconstructive, explicitly describing families that achieve a given value as itsconductor.

Conductors of Abhyankar-Moh semigroups of even degrees