论文标题

费马特型布置和意外曲线减少

Diminished Fermat-type arrangements and unexpected curves

论文作者

Kabat, Jakub, Strycharz-Szemberg, Beata

论文摘要

本注释的目的是介绍和研究一系列所谓的意外曲线。他们具有令人惊讶的特性,即它们的学位成长为无穷大,而在一般脂肪点上的多重性保持恒定,等于$ 3 $,这是最小的数量,这是在其单数点上以意外曲线的多样性而出现的。我们表明,BMSS双重曲线也继承了相同的行为模式。

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 appearing as the multiplicity of an unexpected curve at its singular point. We show that additionally the BMSS dual curves inherits the same pattern of behaviour.

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