On maximizing curves of degree 7

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-05-13 DOI:10.1007/s11565-024-00523-7

Izabela Czarnota

引用次数: 0

Abstract

In the present paper we investigate an intriguing question on the existence of maximizing curves of degree 7 with some prescribed \(\textrm{ADE}\) singularities. We give a result proving the non-existence of such maximizing septics and we give new examples of conic-line arrangements with some \(\textrm{ADE}\) singularities that are free but not maximizing.

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论 7 度曲线的最大化

在本文中，我们研究了一个引人入胜的问题，即具有某些规定的 \(textrm{ADE}\) 奇点的 7 度最大化曲线的存在性。我们给出了一个结果，证明了这种最大化septics 的不存在，并给出了具有某些 \(textrm{ADE}\) 奇点的圆锥曲线排列的新例子，这些圆锥曲线排列是自由的，但不是最大化的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.