Geodesic
A remark on Tate's algorithm and Kodaira types
Tim Dokchitser1 ; Vladimir Dokchitser2
1 Department of Mathematics University of Bristol University Walk Bristol BS8 1TW, United Kingdom
2 Emmanuel College Cambridge CB2 3AP, United Kingdom
Acta Arithmetica, Tome 160 (2013) no. 1, pp. 95-100 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa160-1-6
Keywords: remark tates algorithm determine minimal model elliptic curve stated characterises kodaira types minimum application deduce behaviour kodaira types tame extensions local fields

Tim Dokchitser 1 ; Vladimir Dokchitser 2

1 Department of Mathematics University of Bristol University Walk Bristol BS8 1TW, United Kingdom
2 Emmanuel College Cambridge CB2 3AP, United Kingdom 
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Tim Dokchitser; Vladimir Dokchitser. A remark on Tate's algorithm and Kodaira types. Acta Arithmetica, Tome 160 (2013) no. 1, pp. 95-100. doi: 10.4064/aa160-1-6

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