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visits | member for | 4 years, 1 month |
seen | 10 hours ago | |
stats | profile views | 2,169 |
Mar 2 |
comment |
Why can we not always take a Kähler class to be in rational cohomology?
"may very well have empty intersection" is not correct since the $0$ vector is always in this intersection |
Feb 22 |
awarded | Yearling |
Feb 17 |
revised |
An identity for Futaki-Donaldson invariant
edited tags |
Feb 16 |
comment |
Complex manifolds with trivial canonical bundle
See also the long list of references on page 1 of arxiv.org/pdf/1401.4797.pdf, which will provide you with many more examples of compact complex non-Kähler manifolds with trivial canonical bundle. |
Feb 16 |
answered | An identity for Futaki-Donaldson invariant |
Feb 12 |
answered | Computing the coefficients of the polynomial $\dim H^0(X,L^k)$ in non-smooth case |
Feb 10 |
comment |
Obstructions to deformations of complex manifolds
For examples of obstructed deformations of quotients of $SL(2,\mathbb{C})$ see also this paper of Ghys perso.ens-lyon.fr/ghys/articles/deformationsstructures.pdf. This paper of Rollenske math.uni-bielefeld.de/~rollenske/papers/… seems also quite relevant. |
Feb 5 |
comment |
Hermitian metric on conic Kaehler-Einstein setting
You just took your notations from page 16 here arxiv.org/pdf/1211.4669.pdf. I believe everything is explained there. |
Feb 5 |
comment |
Hermitian metric on conic Kaehler-Einstein setting
This is certainly false if you don't impose any relation among $H$, $\omega$ and $S$, since as you wrote it now $H$ is an arbitrary Hermitian metric on $K_M^{-1}$. |
Feb 5 |
comment |
When a Spherical variety is $K$-stable
K-stability depends on the choice of a polarization. What polarization do you want to choose? |
Feb 4 |
comment |
Understanding a proof of a lemma in elliptic surfaces
Perhaps your advisor can provide you with more details, since he wrote the paper? |
Feb 4 |
comment |
Hermitian metric on conic Kaehler-Einstein setting
What is the relation between $H$, $\omega$ and $S$? |
Feb 4 |
comment |
Continuations of holomorphic functions on submanifolds to the total space
Just a comment about your second sentence: a connected closed complex submanifold of $\mathbb{C}^d$ is just a point. And extension of holomophic functions from a point becomes pretty trivial... |
Jan 17 |
awarded | Popular Question |
Jan 10 |
comment |
Ricci flow on non-compact manifold
Without extra assumptions, the answer is no even on $\mathbb{C}^n$. |
Jan 6 |
awarded | Self-Learner |
Jan 6 |
awarded | Revival |
Jan 6 |
accepted | Is S^2 x S^4 a complex manifold? |
Jan 6 |
answered | Is S^2 x S^4 a complex manifold? |
Jan 6 |
accepted | Moishezon manifolds with vanishing first Chern class |