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The conjecture of Birch and Swinnerton-Dyer for Jacobians of constant curves over higher dimensional bases over finite fields

URN to cite this document:
urn:nbn:de:bvb:355-epub-289985
Keller, Timo
Date of publication of this fulltext: 16 Oct 2014 11:35


Abstract (English)

We formulate an analogue of the conjecture of Birch and Swinnerton-Dyer for Abelian schemes over higher dimensional bases over finite fields and prove it in the case of constant Abelian schemes and give conditional results in the general case.

Translation of the abstract (German)

Wir formulieren ein Analogon der Vermutung von Birch und Swinnerton-Dyer für Abelsche Schemata über höherdimensionalen Bases über endlichen Körpern und beweisen es im Falle konstanter Abelscher Schemata und geben ein bedingtes Resultat im allgemeinen Fall.


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