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math.AG2011★ 1 cited
Abelian surfaces admitting an (l,l)-endomorphism
Reinier Broker, Kristin Lauter, Marco Streng
We give a classification of all principally polarized abelian surfaces that admit an -isogeny to themselves, and show how to compute all the abelian surfaces that occur. We…
math.AG2008★ 4 cited
A CM construction for curves of genus 2 with p-rank 1
Laura Hitt O'Connor, Gary McGuire, Michael Naehrig +1
We construct Weil numbers corresponding to genus-2 curves with -rank 1 over the finite field $\F_{p^2}$ of elements. The corresponding curves can be constructed using expl…