A remark on Tate's algorithm and Kodaira types

• Autorzy: Tim Dokchitser , Vladimir Dokchitser
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11G07: Elliptic curves over local fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 160
• Numer: 1
• Strony: 95-100

Daty

wydano

2013

Twórcy

autor

Tim Dokchitser

• Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom

autor

Vladimir Dokchitser

• Emmanuel College, Cambridge CB2 3AP, United Kingdom

Identyfikatory

DOI

10.4064/aa160-1-6