A remark on Tate's algorithm and Kodaira types

Tim Dokchitser; Vladimir Dokchitser

doi:10.4064/aa160-1-6

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arXiv · 1209.1414

A remark on Tate's algorithm and Kodaira types

Tim Dokchitser·Vladimir Dokchitser

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Abstract

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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Tim Dokchitser, Vladimir Dokchitser. 2013-01-21. A remark on Tate's algorithm and Kodaira types. https://doi.org/10.4064/aa160-1-6

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