%0 Journal Article %T On four-dimensional anti-self-dual gradient Ricci solitons %A Xiuxiong Chen %A Yuanqi Wang %J Mathematics %D 2011 %I arXiv %X In this note we prove that any four-dimensional half conformally flat gradient steady Ricci soliton must be either Bryant's soliton or Ricci flat. We also classify four-dimensional half conformally flat gradient shrinking Ricci solitons with bounded curvature. %U http://arxiv.org/abs/1102.0358v2