Abstract
AbstractIn the present paper we investigate an intriguing question on the existence of maximizing curves of degree 7 with some prescribed $$\textrm{ADE}$$ 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 $$\textrm{ADE}$$ ADE singularities that are free but not maximizing.
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