We study the structure of the supersymmetric moduli spaces of N=1 and N=2 supergravity theories in AdS(4) backgrounds. In the N=1 case, the moduli space cannot be a complex submanifold of the Kahler field space, but is instead real with respect to the inherited complex structure. In N=2 supergravity the same result holds for the vector multiplet moduli space, while the hypermultiplet moduli space is a Kahler submanifold of the quaternionic-Kahler field space. These findings are in agreement with AdS/CFT considerations.