Almost complex Hodge theory
Abstract
We review the recent development of Hodge theory for almost complex manifolds. This includes the determination of whether the Hodge numbers defined by $\bar\partial$-Laplacian are almost complex, almost Kähler, or birational invariants in dimension four.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- arXiv:
- arXiv:2203.09274
- Bibcode:
- 2022arXiv220309274Z
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Algebraic Geometry;
- Mathematics - Complex Variables
- E-Print:
- 22 pages