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Aug 20, 2014 at 19:56 vote accept user57319
Aug 20, 2014 at 16:47 comment added Jason Starr Your argument is also valid for curves of higher genus. There are plenty of self-maps of $A$, and (with rare exceptions) the composition of such self-maps with a closed immersion of a curve will be another closed immersion with higher $\mathcal{L}$-degree.
Aug 20, 2014 at 16:05 history edited Francesco Polizzi CC BY-SA 3.0
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Aug 20, 2014 at 16:00 history edited Francesco Polizzi CC BY-SA 3.0
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Aug 20, 2014 at 15:54 history answered Francesco Polizzi CC BY-SA 3.0