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arXiv · 2401.14721

On maximizing curves of degree $7$

Izabela Czarnota
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Abstract

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

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Izabela Czarnota. 2024-01-26. On maximizing curves of degree $7$. https://arxiv.org/abs/2401.14721

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