A remark on Tate's algorithm and Kodaira types
classification
🧮 math.NT
keywords
kodairatypesalgorithmremarktateapplicationbehaviourcharacterises
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We remark that Tate's algorithm to determine the minimal model of an elliptic curve can be stated in a way that characterises Kodaira types from the minimum of v(a_i)/i. As an application, we deduce the behaviour of Kodaira types in tame extensions of local fields.
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