{ "id": "math/0703576", "version": "v1", "published": "2007-03-20T09:45:30.000Z", "updated": "2007-03-20T09:45:30.000Z", "title": "Smooth projective horospherical varieties with Picard number 1", "authors": [ "Boris Pasquier" ], "comment": "14 pages", "categories": [ "math.AG" ], "abstract": "We describe smooth projective horospherical varieties with Picard number 1. Moreover we prove that the automorphism group of any such variety acts with at most two orbits and we give a geometric characterisation of non-homogeneous ones.", "revisions": [ { "version": "v1", "updated": "2007-03-20T09:45:30.000Z" } ], "analyses": { "subjects": [ "14J45", "14L30", "14M17" ], "keywords": [ "smooth projective horospherical varieties", "picard number", "automorphism group", "geometric characterisation", "variety acts" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......3576P" } } }