A remark on Tate's algorithm and Kodaira types

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.

6 pages (minor changes)

References in corpus (1)

• Growth of Sha in towers for isogenous curves

Cited by in corpus (6)

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• Models of curves over DVRs
• Growth of Sha in towers for isogenous curves
• The torsion in the cohomology of wild elliptic fibers
• Iwasawa Invariants for elliptic curves over ${\mathbb{Z}}_p$-extensions and Kida's Formula
• On the symplectic type of isomorphims of the p-torsion of elliptic curves