No. I think it should say "Based on his 1891 novella of the same name". Unless there is a character named The Duel. ;-)
I would accept a usage such as, "In Alexandre Dumas's novel The Count of Monte Cristo, the eponymous hero believes his revenge is ordained by Providence."
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I would accept a usage such as, "In Alexandre Dumas's novel The Count of Monte Cristo, the eponymous hero believes his revenge is ordained by Providence."