# Computing separable isogenies in quasi-optimal time

@article{Lubicz2014ComputingSI,
title={Computing separable isogenies in quasi-optimal time},
author={D. Lubicz and Damien Robert},
journal={arXiv: Algebraic Geometry},
year={2014}
}
• Published 2014
• Mathematics
• arXiv: Algebraic Geometry
Let $A$ be an abelian variety of dimension $g$ together with a principal polarization $\phi: A \rightarrow \hat{A}$ defined over a field $k$. Let $\ell$ be an odd integer prime to the characteristic of $k$ and let $K$ be a subgroup of $A[\ell]$ which is maximal isotropic for the Riemann form associated to $\phi$. We suppose that $K$ is defined over $k$ and let $B=A/K$ be the quotient abelian variety together with a polarization compatible with $\phi$. Then $B$, as a polarized abelian variety… Expand
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