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math.DG2022
Images and singularity subsets of pseudoholomorphic maps
Weiyi Zhang
We study the image and the singularity subset of a general pseudoholomorphic map. We show that the image of a proper pseudoholomorphic map is a pseudoholomorphic subvariety when th…
math.SG2022
Symplectic blowing down in dimension Six
Tian-Jun Li, Yongbin Ruan, Weiyi Zhang
We establish a blowing down criterion in the context of birational symplectic geometry in dimension 6.
math.DG2022
Almost complex Hodge theory
Weiyi Zhang
We review the recent development of Hodge theory for almost complex manifolds. This includes the determination of whether the Hodge numbers defined by -Laplacian are…