Invariance's user avatar
Invariance's user avatar
Invariance's user avatar
Invariance
  • Member for 4 years, 8 months
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9 votes
Accepted

Learning Complex Geometry and Hodge Structure

6 votes

Cokernel of a sheaf morphism not being a sheaf

6 votes

complex manifolds and geometry reference request

5 votes
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hodge number of complex surfaces

3 votes
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Is a complex space irreducible at a point x also irreducible at any point of a neighborhood of x?

3 votes

Complex normal coordinates in Kähler manifolds

3 votes
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Kahler form lies in $H^2(X,\mathbb Z)$?

3 votes
Accepted

Is an irreducible component of analytic set just a connected component of its regular points?

2 votes

$\bar{\partial}$-exact vs $d$-exact Kähler form

2 votes
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complex non algebraic manifold local ring of holomorphic functions is noetherian?

2 votes

Isn't $∇^{0,1}=\bar\partial_E+A^{0,1}$?

2 votes
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Equivalent definitions for Hermitian metric on dual line bundle

2 votes
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If $X$ is Stein and $H^2(X,\mathbb{Z})\neq 0$ then there are no principal divisors?

2 votes
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Canonical morphism of dualizing sheaves under normalization.

2 votes
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Positive forms and strongly positive forms are bidual

2 votes

Is a finite covering of a $\partial\bar{\partial}$-manifold still $\partial\bar{\partial}$-manifold?

2 votes
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Is the subspace $F^pH^k(X_t,\mathbb C)$ varies smoothly in $H^k(X,\mathbb C)$ when Frölicher spectral sequence of $X$ degenerates at $E_1$?

1 vote
Accepted

Why can we assume that $X$ is normal to prove the equality in Lazarsfeld?

1 vote
Accepted

Does a complex compact surface of general type have to be algebraic?

1 vote

Does a compact Kahler manifolds with negative first Chern class admits any nontrivial holomorphic vector field?

1 vote

How to make sense of the inclusion of germs

1 vote
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The differential of Kähler form

1 vote
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Fubini-Study metric on $\mathbb{CP}^n$

1 vote
Accepted

What is the coordinate definition of holomorphic vector fields?

1 vote

The Simplicial Flabby Resolution of a Sheaf

1 vote

Morphism from a line bundle to a vector bundle

1 vote
Accepted

Need a book on Graduate Complex Analysis.

1 vote

Is this simple condition enough to show $f:\mathbb{C}^3\to\mathbb{C}^3$ is holomorphic?

1 vote
Accepted

Definition of Irreducible Analytic Hyper-surface

0 votes

Adjunction formula (Griffiths & Harris proof)