most citedNon-archimedean analytification of algebraic spaces

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math.NT2004★ 1 cited

Root numbers and ranks in positive characteristic

B. Conrad, K. Conrad, H. Helfgott

For a global field K and an elliptic curve E_eta over K(T), Silverman's specialization theorem implies that rank(E_eta(K(T))) <= rank(E_t(K)) for all but finitely many t in P^1(K).…