We have to prove that if two divisors $D, D'$ are linearly equivalent in a smooth cubic curve $X$ in $\mathbb{P}^2_\mathbb{C}$, then there exists two curves $C, C' $ such that $D-D' =C\cdot X-C'\cdot X$ where this last terms are the intersection divisors. Any hint?
Divisors on a cubic
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algebraic-geometry
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0ok that's probably it, thank you! – 2012-11-28