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Integral differentials of elliptic function fields

โœ Scribed by E. Kunz; R. Waldi


Publisher
Vandenhoeck & Ruprecht
Year
2004
Tongue
German
Weight
443 KB
Volume
74
Category
Article
ISSN
0025-5858

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Let F be a global function field of characteristic p and E/F an elliptic curve with split multiplicative reduction at the place .: then E can be obtained as a factor of the Jacobian of some Drinfeld modular curve. This fact is used to associate to E a measure m E on P 1 (F . ). By choosing an approp

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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 ell