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On Elliptic Curves over Function Fields of Characteristic Two

โœ Scribed by Andreas Schweizer

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
175 KB
Volume
87
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Using Drinfeld modular curves we determine the places of supersingular reduction of elliptic curves over F 2 r( T) with certain conductors. This enables us to classify and describe explicitly all elliptic curves over F 2 r( T ) having a conductor of degree 4. Our results also imply that extremal elliptic surfaces over the algebraic closure of F 2 are unirational.

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