Subvarieties

Introduction 2. The strategy 3. Some preliminaries 3.1. Mumford-Tate groups 3.2. Variations of Z-Hodge structure on Shimura varieties 3.3. Representations of tori 4. Lower bounds for Galois orbits 4.2. Galois orbits and Mumford-Tate groups 4.3. Getting rid of G 4.4. Proof of Proposition 4.3.9 5. Images under Hecke correspondences 6. Density of Hecke orbits 7. Proof of the main result 7.3. The case where i is bounded 7.4. The case where i is not bounded 1. Introduction The aim of this article is to prove a special case of the following conjecture of Andr´ and Oort on subvarieties...

26p tuanloccuoi 04-01-2013 59 6   Download

A basic result in the theory of holomorphic functions of several complex variables is the following special case of the work of H. Cartan on the sheaf cohomology on Stein domains ([10], or see [14] or [16] for more modern treatments). Theorem 1.1. If V is an analytic variety in a domain of holomorphy Ω and if f is a holomorphic function on V , then there is a holomorphic function g in Ω such that g = f on V . The subject of this paper concerns an add-on to the structure considered in Theorem 1.1 which...

25p tuanloccuoi 04-01-2013 51 5   Download