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Almost complex Hodge theory

Differential Geometry 2022-03-18 v1 Algebraic Geometry Complex Variables

Abstract

We review the recent development of Hodge theory for almost complex manifolds. This includes the determination of whether the Hodge numbers defined by ˉ\bar\partial-Laplacian are almost complex, almost K\"ahler, or birational invariants in dimension four.

Keywords

Cite

@article{arxiv.2203.09274,
  title  = {Almost complex Hodge theory},
  author = {Weiyi Zhang},
  journal= {arXiv preprint arXiv:2203.09274},
  year   = {2022}
}

Comments

22 pages

R2 v1 2026-06-24T10:17:00.633Z