{ "id": "1512.01958", "version": "v1", "published": "2015-12-07T09:59:44.000Z", "updated": "2015-12-07T09:59:44.000Z", "title": "On Euler characteristics of Selmer groups for abelian varieties over global function fields", "authors": [ "Maria Valentino" ], "comment": "To appear in Arch. Math. (Basel)", "categories": [ "math.NT" ], "abstract": "Let $F$ be a global function field of characteristic $p>0$, $K/F$ an $\\ell$-adic Lie extension ($\\ell\\neq p$) and $A/F$ an abelian variety. We provide Euler characteristic formulas for the $Gal(K/F)$-module $Sel_A(K)_\\ell$.", "revisions": [ { "version": "v1", "updated": "2015-12-07T09:59:44.000Z" } ], "analyses": { "keywords": [ "global function field", "abelian variety", "selmer groups", "adic lie extension", "euler characteristic formulas" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151201958V" } } }