Locally conformal symplectic blow-ups
  In this paper, we study the blow-up of a locally conformal symplectic manifold.We show that there exists a locally conformal symplectic structure on the blow-up of a locally conformal symplectic manifold along a compact induced symplectic submanifold. 
Song Yang, Xiangdong Yang, Guosong Zhao
math.DG math.SG