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What is Predegree of Smooth Plane Curves about?
The document presents Theorems III(a) and III(b), which describe the predegree of the orbit closure OC of smooth plane curves in terms of their degree d and flex numbers fC. It establishes that if all flexes are simple, the predegree simplifies to a specific polynomial P(d) that characterizes the degree of the orbit closure for general smooth curves of degree d ≥ 4. Additionally, it discusses the negative contributions to the predegree from flexes of varying orders and confirms that the predegree is maximiz
- Author
- aurele.dalibot
- Language
- EN