List questions from complex-geometry

Published on 25 Mar 2026 - 12:48

125

Views

How to define canonical bundle of a complex orbifold?

Published on 11 Jun 2019 - 10:13

375

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Any nonzero meromorphic $1$-form on a compact Riemann surface has degree $2g-2$

Published on 25 Mar 2026 - 7:43

34

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Does $N_{\textit{SL}_2(\mathbb{C})}(\Gamma)/\Gamma$ have an infinite number of components.

Published on 27 Mar 2026 - 13:10

162

Views

A complex top form determine complex structure

Published on 13 Jun 2019 - 21:31

397

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Is the quotient of a holomorphic group action a complex manifold?

Published on 27 Mar 2026 - 4:23

551

Views

Quotient Manifold Theorem for Riemannian, Complex, Symplectic, ... Manifolds

Published on 26 Mar 2026 - 12:06

293

Views

The only holomorphic quadratic differential on $S^2$ is identically zero

Published on 26 Mar 2026 - 6:32

115

Views

How general fibers determine a special fiber?

Published on 25 Mar 2026 - 6:10

81

Views

Simple computation with the $n$-form $dz_1\wedge...\wedge dz_n$ in $\mathbb{C}^n$

Published on 25 Mar 2026 - 20:41

128

Views

Polar divisor contains no hyperplane when degree $d\geq 3$

Published on 25 Mar 2026 - 6:10

99

Views

about the subbundle in complex geometry by daniel huybrechts

Published on 27 Mar 2026 - 2:38

51

Views

is linearisation holomorphic?

Published on 26 Mar 2026 - 1:26

86

Views

Uniqueness of complex tori

Published on 26 Mar 2026 - 6:32

56

Views

elliptic curve with Teichmüller parameter $τ=i$

Published on 28 Mar 2026 - 7:51

List Question

Why is an almost complex structure $J$ a tensor field of type $(1,1)$?

How to define canonical bundle of a complex orbifold?

Any nonzero meromorphic $1$-form on a compact Riemann surface has degree $2g-2$

Does $N_{\textit{SL}_2(\mathbb{C})}(\Gamma)/\Gamma$ have an infinite number of components.

A complex top form determine complex structure

Is the quotient of a holomorphic group action a complex manifold?

Quotient Manifold Theorem for Riemannian, Complex, Symplectic, ... Manifolds

The only holomorphic quadratic differential on $S^2$ is identically zero

How general fibers determine a special fiber?

Simple computation with the $n$-form $dz_1\wedge...\wedge dz_n$ in $\mathbb{C}^n$

Polar divisor contains no hyperplane when degree $d\geq 3$

about the subbundle in complex geometry by daniel huybrechts

is linearisation holomorphic?

Uniqueness of complex tori

elliptic curve with Teichmüller parameter $τ=i$

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