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This tag is used if a reference is needed in a paper or textbook on a specific result.

7 votes
2 answers
610 views

Reference request for recurrence relation of division polynomials

The recurrence relations for division polynomials of elliptic curves are well known: $$\Psi_{2n} = \Psi_n \left( \Psi_{n+2} \Psi_{n-1}^2 - \Psi_{n-2} \Psi_{n+1}^2 \right) / \ 2y$$ $$\Psi_{2n+1} = \Psi …
9 votes
1 answer
371 views

Reference for map $\operatorname{Hom}^d(C,\mathbb{P}^1) \to \operatorname{Sym}^d(C)$

For a curve $C$ over a finite field, I am looking at the map $\phi: \operatorname{Hom}^d(C,\mathbb{P}^1) \to \operatorname{Sym}^d(C)$ where $\operatorname{Hom}^d(C,\mathbb{P}^1)$ are the functions of …