Abelian surfaces admitting an (l,l)-endomorphism

9 Jun 2011 Reinier Broker Kristin Lauter Marco Streng

We give a classification of all principally polarized abelian surfaces that admit an $(l,l)$-isogeny to themselves, and show how to compute all the abelian surfaces that occur. We make the classification explicit in the simplest case $l=2$... (read more)

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