Finiteness of $\mathrm{Sym}^+(C)$ and the rotation bound $|\mathrm{Sym}^+(C)|\le\max\{d,2d-4\}$ for irreducible curves

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Finiteness of $\mathrm{Sym}^+(C)$ and the rotation bound $|\mathrm{Sym}^+(C)|\le\max\{d,2d-4\}$ for irreducible curves · Prove2Me