Brauer-Siegel theorem for elliptic surfaces

We consider higher-dimensional analogues of the classical Brauer-Siegel theorem focusing on the case of abelian varieties over global function fields. We prove such an analogue in the case of constant families of elliptic curves and abelian varieties.

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Bibliographische Detailangaben
Hauptverfasser:	Kunyavskii, B. E, Tsfasman, M. A
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Number Theory
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Beschreibung
Zusammenfassung:	We consider higher-dimensional analogues of the classical Brauer-Siegel theorem focusing on the case of abelian varieties over global function fields. We prove such an analogue in the case of constant families of elliptic curves and abelian varieties.
DOI:	10.48550/arxiv.0705.4257