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Results tagged with complex-geometry
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user 64043
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
3
votes
Almost complex manifold fibered by holomorphic sub-manifolds
If I am not reading something wrong, or did some silly calculation mistake, than the answer to your question is no. Let us take $M=\mathbb R^4$ and $N=\mathbb R^2=\mathbb C$ and the map $p$ just the …
- 313
18
votes
1
answer
638
views
Thom conjecture in CP3
Thom conjecture, that was originally asked in $\mathrm{CP}^2$, and is now proven for symplectic 4 manifolds, states that complex curves (symplectic surfaces) are genus minimizing in their homology cla …
- 313