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math.AG2017★ 5 cited
Dolbeault cohomologies of blowing up complex manifolds
Sheng Rao, Song Yang, Xiangdong Yang
We prove a blow-up formula for Dolbeault cohomologies of compact complex manifolds by introducing relative Dolbeault cohomology. As corollaries, we present a uniform proof for bime…
math.AG2017★ 1 cited
Geometry of logarithmic forms and deformations of complex structures
Kefeng Liu, Sheng Rao, Xueyuan Wan
We present a new method to solve certain -equations for logarithmic differential forms by using harmonic integral theory for currents on Kahler manifolds. The resul…