## New answers tagged complex-manifolds

2
votes

Accepted

### Vertical Fourier decomposition for skew-Hermitian 1-forms

If $SM$ is trivial (such that you can view it as $M\times \mathbb S^1$ and use the angle $\theta$ to describe the second variable), the $k$th Fourier mode of $\mathbb A\in C^\infty(SM,\mathbb C^{n\...

- 728

10
votes

Accepted

### Threefolds with the same Betti numbers and the same Chern numbers

The complex parallelizable (hence, all Chern classes are trivial) Iwasawa manifold is constructed by taking the complex Lie group of matrices of the form $$\begin{pmatrix} 1 & x & z \\ 0 & ...

- 1,257

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