Diminished Fermat-type arrangements and unexpected curves

The purpose of this note is to present and study a new series of the so-called unexpected curves. They enjoy a surprising property to the effect that their degree grows to infinity, whereas the multiplicity at a general fat point remains constant, equal $3$, which is the least possible number appear...

Full description

Bibliographic Details
Main Authors: Kabat, Jakub, Strycharz-Szemberg, Beata
Format: Article
Language:English
Published: Académie des sciences 2020-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.77/