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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…
math.NT2008★ 3 cited
Abelian Varieties with Prescribed Embedding Degree
David Freeman, Peter Stevenhagen, Marco Streng
We present an algorithm that, on input of a CM-field , an integer , and a prime , constructs a -Weil number corresponding to an ordinary…