%0 Journal Article %T A semiregularity map annihilating obstructions to deforming holomorphic maps %A Donatella Iacono %J Mathematics %D 2007 %I arXiv %X We study deformations of holomorphic maps of compact, complex, K\"ahler manifolds. In particular, we describe a generalization of Bloch's semiregularity map that annihilates obstructions to deform holomorphic maps with fixed codomain. %U http://arxiv.org/abs/0707.2454v2