List questions from complex-geometry

Published on 25 Mar 2026 - 20:34

85

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Compact Riemann surfaces are projective varieties

Published on 27 Mar 2026 - 14:58

44

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CR differential operators

Published on 25 Mar 2026 - 7:40

282

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Tangent cone of a non-isolated singular point

Published on 25 Mar 2026 - 6:50

191

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Formula for anti-involutive (almost complex structures) and involutive maps on any $V^2$ in terms of linear maps on $V$ based on $\mathbb R^2$

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67

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Let $f:D \rightarrow D$ be a holomorphic function such that f has a zero of order $N\geq 1$ at the origin, then show that $|f(z)|\leq |z|^N$

Published on 13 Feb 2020 - 12:45

445

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Why is the sum of two algebraic functions algebraic?

Published on 25 Mar 2026 - 21:01

61

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Induced map from the universal cover of the base space to the Teichmuller space of the fiber is holomorphic

Published on 23 Feb 2026 - 2:43

113

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Reference for Penrose-Ward transformation

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123

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non totally decomposability of vectors in Grassmannian

Published on 23 Feb 2026 - 1:50

120

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Understand why $dT$ give a global section of $N_V^* \otimes [V]$

Published on 17 Feb 2020 - 12:30

106

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Holomorphic map proper after shrinking (from J. Kollar's Lecture on Resolution of Singularities)

Published on 18 Feb 2020 - 23:20

77

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If subspace $A$ is the fixed points of an involution $\sigma$, then is $K(A)$ the fixed points of $-\sigma$?

Published on 25 Mar 2026 - 14:25

162

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For any two almost complex structures on infinite-dimensional space: Do they give isomorphic vector spaces? Are they similar?

Published on 25 Mar 2026 - 17:37

169

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Finding an almost complex structure (aka anti-involution) given an involution

Published on 25 Mar 2026 - 16:06

List Question

Complex structures, Kähler manifolds

Compact Riemann surfaces are projective varieties

CR differential operators

Tangent cone of a non-isolated singular point

Formula for anti-involutive (almost complex structures) and involutive maps on any $V^2$ in terms of linear maps on $V$ based on $\mathbb R^2$

Let $f:D \rightarrow D$ be a holomorphic function such that f has a zero of order $N\geq 1$ at the origin, then show that $|f(z)|\leq |z|^N$

Why is the sum of two algebraic functions algebraic?

Induced map from the universal cover of the base space to the Teichmuller space of the fiber is holomorphic

Reference for Penrose-Ward transformation

non totally decomposability of vectors in Grassmannian

Understand why $dT$ give a global section of $N_V^* \otimes [V]$

Holomorphic map proper after shrinking (from J. Kollar's Lecture on Resolution of Singularities)

If subspace $A$ is the fixed points of an involution $\sigma$, then is $K(A)$ the fixed points of $-\sigma$?

For any two almost complex structures on infinite-dimensional space: Do they give isomorphic vector spaces? Are they similar?

Finding an almost complex structure (aka anti-involution) given an involution

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