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3 votes

When does a hyperelliptic Riemann surface admit a map of degree 3

The nice argument used by Daniel Litt in his comment can be generalized in order to prove the so-called Castelnuovo-Severi inequality, see for instance [R. D. M. Accola, Topics in the theory of Rieman …
Francesco Polizzi's user avatar
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Intersection number of divisors on abelian surfaces and its invariance under translation by ...

The answer is yes if $D_2$ is an ample curve. More generally, the following result holds: Two ample line bundles on an abelian variety are algebraically equivalent if and only if they differ by …
Francesco Polizzi's user avatar