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Results tagged with complex-manifolds
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user 38823
For questions about or involving complex manifolds.
2
votes
0
answers
198
views
Betti numbers of threefolds with trivial canonical class
I am interested in a simply-connected compact complex manifold $M$ of dimension three with trivial canonical class.
Note that if it is K"ahler, then it is a Calabi-Yau threefold.
Its independent Bett …
- 1,841
5
votes
1
answer
459
views
Threefolds with the same Betti numbers and the same Chern numbers
By a threefold, I mean a compact complex manifold of dimension three.
My question is a simple one:
Are there known INFINITELY many non-homeomorphic threefolds that have the same Betti numbers and the …
- 1,841
2
votes
Finite self-maps exist on rigid CY3s
One can show that such a map in the question doesn't exist (no need to assume simply-connectedness).
As abx pointed out, any finite map between smooth projective varieties with trivial canonical bundl …
- 1,841