{ "id": "1206.2486", "version": "v2", "published": "2012-06-12T10:31:31.000Z", "updated": "2014-03-19T02:48:29.000Z", "title": "Moduli Spaces of Arrangements of 10 Projective Lines with Quadruple Points", "authors": [ "Meirav Amram", "Mina Teicher", "Fei Ye" ], "comment": "Changed notations in the definition of moduli space to improve clarity. Results unchanged", "categories": [ "math.AG", "math.CO" ], "abstract": "We classify moduli spaces of arrangements of 10 lines with quadruple points. We show that moduli spaces of arrangements of 10 lines with quadruple points may consist of more than 2 disconnected components, namely 3 or 4 distinct points. We also present defining equations to those arrangements whose moduli spaces are still reducible after taking quotients of complex conjugations.", "revisions": [ { "version": "v2", "updated": "2014-03-19T02:48:29.000Z" } ], "analyses": { "keywords": [ "quadruple points", "arrangements", "projective lines", "classify moduli spaces", "complex conjugations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.2486A" } } }