Eliminate obstructions: curves on a 3-fold
  By using higher K-theory, we reinterpret and generalize an idea on eliminating obstructions to deforming cycles, which is known to Mark Green, Phillip Griffiths and TingFai Ng(for the divisor case). As an application, we show how to eliminate obstructions to deforming curves on a 3-fold. This answers affirmatively an open question by TingFai Ng. 
Sen Yang
math.AG