{ "id": "1506.01466", "version": "v1", "published": "2015-06-04T04:50:08.000Z", "updated": "2015-06-04T04:50:08.000Z", "title": "A proof of the Andre-Oort conjecture for A_g", "authors": [ "Jacob Tsimerman" ], "categories": [ "math.NT", "math.AG" ], "abstract": "We give a proof of the Andre-Oort conjecture for $\\mathcal{A}_g$. In particular, we show that a recently proven `averaged' version of the Colmez conjecture yields lower bounds for Galois orbits of CM points. The Andre-Oort conjecture then follows from previous work of Pila and the author.", "revisions": [ { "version": "v1", "updated": "2015-06-04T04:50:08.000Z" } ], "analyses": { "keywords": [ "andre-oort conjecture", "colmez conjecture yields lower bounds", "cm points", "galois orbits" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150601466T" } } }