%0 Journal Article %T Birational maps of 3-folds %A Jungkai Alfred Chen %J Mathematics %D 2013 %I arXiv %X We show that 3-fold terminal flips and divisorial contractions may be factored into a sequence of flops, blow-downs to a smooth curve in a smooth 3-fold or divisorial contractions to points with minimal discrepancies. %U http://arxiv.org/abs/1304.5949v1