I was reading about elliptic curves from this PDF. Page 44 defines Frobenius map. It defines the frobenius map as $f(x,y) = (x^p, y^p) \bmod p$. Isn't it just an identity map? What's the use of this map in elliptic curves?

  • $\begingroup$ For future reference: In SO, cross-posting on two different sites is not a good etiquette. Select one, and give the community a chance to answer. $\endgroup$ – kelalaka Dec 2 '18 at 11:11

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