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Zeta functions of local orders

Firouzian Bandpey, Siamak (2006) Zeta functions of local orders. PhD, Universität Regensburg.

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Date of publication of this fulltext: 22 Feb 2006 07:44

Abstract (English)

The zeta-functions associated with algebraic curves over finite fields encode many arithmetic properties of the curves. In the non-singular case the theory is well-known. It is analogous to the theory of zeta-functions for number fields and culminates in the Hasse-Weil theorem about the Riemann hypothesis for curves. In the singular case, the theory is more difficult and less explored.First of ...


Translation of the abstract (German)

Die Zetafunktionen von algebraischen Kurven über endlichen Kurven verschlüsseln viele arithmetische Invarianten der Kurven. Ihre Theorie ist wohlbekannt im nicht-singulären Fall. Sie ist dann analog zur Theorie der Zetafunktionen von Zahlkörpern und gipfelt im Satz von Hasse und Weil, der die Riemannschen Vermutung für Kurven zeigt. Im Fall singulärer Kurven ist die Theorie schwieriger und ...


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Item type:Thesis of the University of Regensburg (PhD)
Date:21 February 2006
Referee:Uwe (Prof. Dr.) Jannsen
Date of exam:8 February 2006
Institutions:Mathematics > Prof. Dr. Uwe Jannsen
Keywords:Zetafunktion , Kommutative Algebra , algebraische Kurve , algebraische Geometrie , Funktionalgleichung , , zeta functions , local orders , algebraic curves
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:10418
Owner only: item control page


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