List questions from complex-geometry

Published on 20 Mar 2026 - 13:02

115

Views

Notation in Huybrechts' $A\wedge A$

Published on 25 Apr 2018 - 15:08

593

Views

We can always find a projective line $L\subset\mathbb{CP^2}$ intersecting degree $d$ projective curve at $d$ distinct points

Published on 25 Mar 2026 - 6:03

981

Views

Why is Fubini-Study metric invariant under $SU(n+1)$ action on $\mathbb{P}^n \mathbb{C}$

Published on 29 Apr 2018 - 15:38

44

Views

Rational maps in analytic topology

Published on 30 Apr 2018 - 18:50

152

Views

Questions about Hodge conjecture

Published on 01 May 2018 - 13:56

74

Views

If X is a noncompact Riemann surface and $\omega$ is a smooth 2-form then there exists $f$ such that $d'd''f = \omega$

Published on 25 Mar 2026 - 4:43

373

Views

Irreducible point in a complex (analytic) space

Published on 25 Mar 2026 - 4:36

217

Views

Very simple question about the space of Kähler forms

Published on 25 Mar 2026 - 7:47

76

Views

Is the collection of reduced points in a complex space is open?

Published on 25 Mar 2026 - 6:03

113

Views

Why is : $ K_{ \mathbb{P}^{n} } = -(n+1) H = \mathcal{O}_{ \mathbb{P}^{n} } (-n-1) $?

Published on 25 Mar 2026 - 6:10

58

Views

Geometry Complex Numbers Convexity

Published on 07 May 2018 - 11:55

511

Views

Compact Riemann surface of genus 2 as the normalization of a quartic curve.

Published on 25 Mar 2026 - 4:41

972

Views

Adjunction Formula

Published on 07 May 2018 - 22:52

1.9k

Views

If $z_1+z_2+z_3=0$ and $|z_1|=|z_2|=|z_3|=1$, then $z_1,z_2,z_3$ are the vertices of an equilateral triangle.

Published on 08 May 2018 - 7:14

List Question

Different expressions of $\mathbf{CP}^n$

Notation in Huybrechts' $A\wedge A$

We can always find a projective line $L\subset\mathbb{CP^2}$ intersecting degree $d$ projective curve at $d$ distinct points

Why is Fubini-Study metric invariant under $SU(n+1)$ action on $\mathbb{P}^n \mathbb{C}$

Rational maps in analytic topology

Questions about Hodge conjecture

If X is a noncompact Riemann surface and $\omega$ is a smooth 2-form then there exists $f$ such that $d'd''f = \omega$

Irreducible point in a complex (analytic) space

Very simple question about the space of Kähler forms

Is the collection of reduced points in a complex space is open?

Why is : $ K_{ \mathbb{P}^{n} } = -(n+1) H = \mathcal{O}_{ \mathbb{P}^{n} } (-n-1) $?

Geometry Complex Numbers Convexity

Compact Riemann surface of genus 2 as the normalization of a quartic curve.

Adjunction Formula

If $z_1+z_2+z_3=0$ and $|z_1|=|z_2|=|z_3|=1$, then $z_1,z_2,z_3$ are the vertices of an equilateral triangle.

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