We give an alternative derivation of $(N,N)$-isogenies between fastKummer surfaces which complements existing works based on the theory oftheta functions. We use this framework to produce explicit formulae for thecase of $N = 3$, and show that the resulting algorithms are more efficient thanall prior $(3, 3)$-isogeny algorithms.

翻译：我们给出了快速Kummer曲面之间$(N,N)$同源映射的另一种推导方式，该推导补充了基于theta函数理论的现有工作。我们利用这一框架为$N=3$的情况生成显式公式，并证明由此得到的算法比所有先前的$(3,3)$同源算法更为高效。