{ "id": "1710.05507", "version": "v1", "published": "2017-10-16T04:45:06.000Z", "updated": "2017-10-16T04:45:06.000Z", "title": "Rank One Orbit Closures in H^{hyp}(g-1,g-1)", "authors": [ "Paul Apisa" ], "comment": "14 pages. Comments welcome!", "categories": [ "math.DS", "math.GT" ], "abstract": "Every GL(2,R)-orbit in hyperelliptic components of strata of abelian differentials in genus greater than two is either closed, dense, or contained in a locus of branched covers.", "revisions": [ { "version": "v1", "updated": "2017-10-16T04:45:06.000Z" } ], "analyses": { "keywords": [ "orbit closures", "hyperelliptic components", "abelian differentials", "genus greater" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }