Geodesic
A remark on Tate's algorithm and Kodaira types
Tim Dokchitser1 ; Vladimir Dokchitser2
1Department of Mathematics University of Bristol University Walk Bristol BS8 1TW, United Kingdom
2Emmanuel 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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