{ "id": "0910.3898", "version": "v1", "published": "2009-10-20T16:12:03.000Z", "updated": "2009-10-20T16:12:03.000Z", "title": "Riemann-Roch and Riemann-Hurwitz theorems for global fields", "authors": [ "Stella Anevski" ], "categories": [ "math.NT" ], "abstract": "In this paper, we use counting theorems from the geometry of numbers to extend the Riemann-Roch theorem and the Riemann-Hurwitz formula to global fields of arbitrary characteristic.", "revisions": [ { "version": "v1", "updated": "2009-10-20T16:12:03.000Z" } ], "analyses": { "subjects": [ "11R99" ], "keywords": [ "global fields", "riemann-hurwitz theorems", "riemann-roch theorem", "riemann-hurwitz formula" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.3898A" } } }