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math.AG2025
Characterization of fiberwise bimeromorphism and specialization of bimeromorphic types I: locally Moishezon case
Jian Chen, Sheng Rao, I-Hsun Tsai
Inspired by the recent works of M. Kontsevich--Y. Tschinkel and J. Nicaise--J. C. Ottem on specialization of birational types for smooth families (in the scheme category) and J. Ko…
math.AG2019
Deformation limit and bimeromorphic embedding of Moishezon manifolds
Sheng Rao, I-Hsun Tsai
Let be a holomorphic family of compact complex manifolds over an open disk in . If the fiber for each nonzero in an uncoun…
math.AG2018
Dolbeault cohomologies of blowing up complex manifolds II: bundle-valued case
Sheng Rao, Song Yang, Xiangdong Yang
We use a sheaf-theoretic approach to obtain a blow-up formula for Dolbeault cohomology groups with values in the holomorphic vector bundle over a compact complex manifold. As appli…