{ "id": "1202.1517", "version": "v1", "published": "2012-02-07T20:33:31.000Z", "updated": "2012-02-07T20:33:31.000Z", "title": "Points of order two on theta divisors", "authors": [ "Valeria Ornella Marcucci", "Gian Pietro Pirola" ], "comment": "4 pages", "categories": [ "math.AG" ], "abstract": "We give a bound on the number of points of order two on the theta divisor of a principally polarized abelian variety A. When A is the Jacobian of a curve C the result can be applied in estimating the number of effective square roots of a fixed line bundle on C.", "revisions": [ { "version": "v1", "updated": "2012-02-07T20:33:31.000Z" } ], "analyses": { "keywords": [ "theta divisor", "principally polarized abelian variety", "effective square roots", "fixed line bundle" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.1517O" } } }