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In this note, we prove a formula for the cancellation exponent kv,n between division polynomials ψ ₙ and φ ₙ associated with a sequence ∈ N of points on an elliptic curve E defined over a discrete valuation field K . The formula greatly generalizes the previously known special cases and treats also the case of non-standard Kodaira types for non-perfect residue fields.
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Naskręcki et al. (2024) studied this question.
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