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Proof of the Tate conjecture for products of elliptic curves over finite fields

✍ Scribed by Michael Spieß


Publisher
Springer
Year
1999
Tongue
English
Weight
74 KB
Volume
314
Category
Article
ISSN
0025-5831

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Group Structure of Elliptic Curves over
✍ Christian Wittmann 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 123 KB

Let A be a finite abelian group such that there is an elliptic curve defined over a finite field F q with E(F q )$A. We will determine the possible group structures E(F q k) as E varies over all elliptic curves defined over F q with E(F q )$A.