52

Answers
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17
“The complex version of Nash’s theorem is not true”
4
Algebraic Geometry versus Complex Geometry
14
Elementary short exact sequence of sheaves
4
A question on Generalized Gauss-Bonnet Theorem
5
Positive vector bundles
3
Why is the exterior differentiation operator sometimes visualized as the “boundary”?
4
Non-cohomological proof that the pullback of an ample bundle by a finite morphism is ample
2
rational curve on varieties of general type
8
construct the elliptic fibration of elliptic k3 surface
4
Noncompact Kahler manifolds with nonzero Ricci tensor but vanishing scalar curvature
2
Negative holomorphic sectional curvature
2
Uniformity of ampleness
9
Non-Kahler Complex manifolds
3
Differential forms on an almost complex manifold
6
Riemannian metric on a flag variety
15
Applications of Liouville’s theorem
12
Do projective hypersurfaces contain projective toric varieties?
1
Flat connections on Bundles of degree 0 on a compact Riemann surface
2
Kernel of a bundle map
3
Non-Kahler manifolds where the different Laplacians are compatible
2
What is the DGLA controlling the deformation theory of a complex submanifold?
1
Effect of tensor product on euler characteristic of line bundles
1
Hermitian Christoffel Symbols
5
Vague question on $Pic^0$
1
Nakano semipositivity
9
Relation between the de Rham and Hodge Laplacians on the Exterior Algebra
3
Algebraic cycles
3
Cohomology class of a current
9
Specifc Line Bundle over Complex Manifold implies Kahler?
3
Strict Transform under Blow-Up along nonsingular Subvariety
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