User diverietti

32 votes

Accepted

Elementary short exact sequence of sheaves

answered Apr 26, 2011 at 20:29

28 votes

Accepted

construct the elliptic fibration of elliptic k3 surface

answered Feb 6, 2012 at 11:09

27 votes

"The complex version of Nash's theorem is not true"

answered Mar 27, 2011 at 22:34

27 votes

Accepted

Is the complex structure of $\mathbb CP^n$ unique?

answered Jan 28, 2021 at 16:10

17 votes

Applications of Liouville's theorem

answered Jun 27, 2012 at 10:24

15 votes

Non-Kahler Complex manifolds

answered Nov 17, 2010 at 10:17

15 votes

Specific line bundle over complex manifold implies Kähler?

answered Jul 18, 2011 at 23:14

14 votes

Accepted

Do projective hypersurfaces contain projective toric varieties?

answered Dec 30, 2011 at 1:46

13 votes

Chern class on a symplectic manifold

answered Sep 8, 2016 at 20:53

12 votes

Accepted

Homotopy type of a complex affine variety

answered Jan 20, 2017 at 15:44

12 votes

Accepted

Relation between the de Rham and Hodge Laplacians on the Exterior Algebra

answered Mar 24, 2011 at 18:22

11 votes

Algebraic Geometry versus Complex Geometry

answered Nov 19, 2010 at 10:50

11 votes

Why can we not always take a Kähler class to be in rational cohomology?

answered Mar 1, 2015 at 21:22

11 votes

Bott Chern cohomology via currents

answered Mar 31, 2016 at 13:48

11 votes

Reference Request: de Rham vs. Dolbeault

answered Jul 24, 2012 at 7:45

10 votes

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Euler Sequence on Homogeneous Spaces

answered Apr 29, 2013 at 16:27

9 votes

Direct sum of two stable bundles of same slope

answered Oct 27, 2012 at 15:57

9 votes

Accepted

Negative holomorphic sectional curvature

answered Oct 18, 2010 at 20:44

9 votes

Rational curves on varieties of general type

answered Jan 18, 2011 at 21:52

9 votes

On the generalized Gauss-Bonnet theorem

answered Dec 30, 2011 at 2:19

9 votes

Accepted

Differential forms on an almost complex manifold

answered Feb 6, 2012 at 17:52

9 votes

Riemannian metric on a flag variety

answered Jan 24, 2012 at 10:32

9 votes

Kähler metric on projectivised bundle

answered Jun 26, 2011 at 11:04

8 votes

Accepted

Strict Transform under Blow-Up along nonsingular Subvariety

answered Jun 27, 2011 at 22:18

8 votes

Positive (k.k)-form?

answered Dec 25, 2011 at 15:50

8 votes

Example of Calabi-Yau 3-fold fibered by both K3 surface and abelian surface?

answered Aug 11, 2013 at 15:04

7 votes

Non-cohomological proof that the pullback of an ample bundle by a finite morphism is ample

answered Apr 26, 2011 at 20:36

7 votes

Griffiths-positive metric

answered Oct 21, 2010 at 9:42

7 votes

Hom between Brody hyperbolic varieties

answered Mar 2, 2021 at 13:38

6 votes

Positive vector bundles

answered Jan 25, 2011 at 23:27

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80 Answers

Elementary short exact sequence of sheaves

construct the elliptic fibration of elliptic k3 surface

"The complex version of Nash's theorem is not true"

Is the complex structure of $\mathbb CP^n$ unique?

Applications of Liouville's theorem

Non-Kahler Complex manifolds

Specific line bundle over complex manifold implies Kähler?

Do projective hypersurfaces contain projective toric varieties?

Chern class on a symplectic manifold

Homotopy type of a complex affine variety

Relation between the de Rham and Hodge Laplacians on the Exterior Algebra

Algebraic Geometry versus Complex Geometry

Why can we not always take a Kähler class to be in rational cohomology?

Bott Chern cohomology via currents

Reference Request: de Rham vs. Dolbeault

Euler Sequence on Homogeneous Spaces

Direct sum of two stable bundles of same slope

Negative holomorphic sectional curvature

Rational curves on varieties of general type

On the generalized Gauss-Bonnet theorem

Differential forms on an almost complex manifold

Riemannian metric on a flag variety

Kähler metric on projectivised bundle

Strict Transform under Blow-Up along nonsingular Subvariety

Positive (k.k)-form?

Example of Calabi-Yau 3-fold fibered by both K3 surface and abelian surface?

Non-cohomological proof that the pullback of an ample bundle by a finite morphism is ample

Griffiths-positive metric

Hom between Brody hyperbolic varieties

Positive vector bundles