{ "id": "0705.4257", "version": "v2", "published": "2007-05-29T17:50:43.000Z", "updated": "2007-12-25T14:22:20.000Z", "title": "Brauer-Siegel theorem for elliptic surfaces", "authors": [ "B. E. Kunyavskii", "M. A. Tsfasman" ], "comment": "10 pages", "categories": [ "math.AG", "math.NT" ], "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.", "revisions": [ { "version": "v2", "updated": "2007-12-25T14:22:20.000Z" } ], "analyses": { "keywords": [ "elliptic surfaces", "abelian varieties", "global function fields", "classical brauer-siegel theorem", "elliptic curves" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0705.4257K" } } }