English

Brauer-Siegel theorem for elliptic surfaces

Algebraic Geometry 2007-12-25 v2 Number Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0705.4257,
  title  = {Brauer-Siegel theorem for elliptic surfaces},
  author = {B. E. Kunyavskii and M. A. Tsfasman},
  journal= {arXiv preprint arXiv:0705.4257},
  year   = {2007}
}
R2 v1 2026-06-21T08:33:04.290Z