Abelian surfaces admitting an (l,l)-endomorphism
Journal of Algebra, Volume 394, 2011, Pages 374-396.
complex multiplicationalgebraic geometrynumber theory
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 $l=2$. As part of our classification, we also show how to find all principally polarized abelian surface...More
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