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
DOI to cite this document:: 10.5283/epub.28998

Keller, Timo

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Date of publication of this fulltext: 16 Oct 2014 11:35

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Item type:	Thesis of the University of Regensburg (PhD)
Date:	16 October 2014
Referee:	Prof. Dr. Uwe Jannsen and Prof. Dr. Walter Gubler
Date of exam:	15 October 2013
Institutions:	Mathematics > Prof. Dr. Uwe Jannsen
Keywords:	Birch-Swinnerton-Dyer conjecture, étale Kohomologie, L-Funktionen, Abelsche Schemata über höherdimensionalen Basen
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Published
Refereed:	Yes, this version has been refereed
Created at the University of Regensburg:	Yes
Item ID:	28998

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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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