{ "id": "1111.3340", "version": "v1", "published": "2011-11-14T20:01:45.000Z", "updated": "2011-11-14T20:01:45.000Z", "title": "Prym varieties of double coverings of elliptic curves", "authors": [ "Valeria Ornella Marcucci", "Juan Carlos Naranjo" ], "comment": "7 pages, 1 figure", "categories": [ "math.AG" ], "abstract": "We prove the generic injectivity of the Prym map, sending a double covering of an elliptic curve ramified at r>4 points to its polarized Prym variety. For r=6 the map is birational.", "revisions": [ { "version": "v1", "updated": "2011-11-14T20:01:45.000Z" } ], "analyses": { "subjects": [ "14H40", "32G20", "14E05" ], "keywords": [ "double covering", "prym map", "polarized prym variety", "generic injectivity" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.3340O" } } }