A remark on Tate's algorithm and Kodaira types

Tim Dokchitser; Vladimir Dokchitser

Acta Arithmetica, Tome 161 (2013), p. 95-100 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2013-01-01

Zbl 06189628

EUDML-ID : urn:eudml:doc:279809

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     author = {Tim Dokchitser and Vladimir Dokchitser},
     title = {A remark on Tate's algorithm and Kodaira types},
     journal = {Acta Arithmetica},
     volume = {161},
     year = {2013},
     pages = {95-100},
     zbl = {06189628},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa160-1-6}
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Tim Dokchitser; Vladimir Dokchitser. A remark on Tate's algorithm and Kodaira types. Acta Arithmetica, Tome 161 (2013) pp. 95-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa160-1-6/