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Results tagged with dg.differential-geometry
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user 38823
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
2
votes
0
answers
147
views
Minimal Betti numbers of simply-connected threefolds with trivial canonical class
By a threefold, I mean a compact complex manifold of dimension three.
For a simply-connected threefold with trivial canonical class, its Betti numbers satisfy:
$$b_2 \ge 0, b_3 \ge 2.$$
I am wondering …
- 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
3
votes
0
answers
209
views
Examples of non-Kähler Calabi-Yau 4-folds
By a Calabi-Yau manifold, I mean a compact complex manifold whose canonical bundle is trivial and
$$H^i (X, O_X) = H^0(X, \Omega_X^i) = 0$$ for $0 < i < \dim X$.
Infinitely many topological types of …
- 63.9k
8
votes
1
answer
296
views
Why are there finitely many deformation types of Calabi-Yau threefolds for a given diffeomor...
In an article of Robert Friedman, I came up with a comment:
There are finitely many deformation types of Calabi-Yau threefolds for a given diffeomorhpic type if $b_2 =1$.
And it is said that this is …
- 4,111