19 citations · 118 across the 23 of their papers we have counts for
10 papers · 1 filter
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…
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…
Almost Kähler Kodaira-Spencer problem
Tom Holt, Weiyi Zhang
We show that the almost complex Hodge number varies with different choices of almost Kähler metrics. This answers the almost Kähler version of a question of Kodaira and S…
From Smooth to Almost Complex
Weiyi Zhang
This article mainly aims to overview the recent efforts on developing algebraic geometry for an arbitrary compact almost complex manifold. We review the results obtained by the gui…
Kodaira dimensions of almost complex manifolds II
Haojie Chen, Weiyi Zhang
This is the second of a series of papers where we study the plurigenera, the Kodaira dimension and the Iitaka dimension on compact almost complex manifolds. By using the pseudoholo…
Harmonic Forms on the Kodaira-Thurston Manifold
Tom Holt, Weiyi Zhang
We introduce an effective method to solve the -harmonic forms on the Kodaira-Thurston manifold endowed with an almost complex structure and an Hermitian metric. Using…