List questions from complex-geometry

Published on 21 Aug 2019 - 5:50

197

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Interpretation of Complex disc around origin as a variety

Published on 25 Mar 2026 - 7:43

257

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Are finite type analytic sheaves coherent?

Published on 25 Mar 2026 - 15:59

93

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Definition of being nef and big

Published on 25 Mar 2026 - 12:38

65

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Automorphisms of Elliptic curve via loops in the Weierstrass fibration

Published on 28 Mar 2026 - 14:44

178

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The ring of entire functions is a flat module over the ring of polynomials?

Published on 24 Aug 2019 - 1:19

59

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Relatively prime elements of a local ring stay relatively prime in nearby local rings

Published on 27 Mar 2026 - 15:19

74

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Quotient by finite subgroups are biholomorphic.

Published on 26 Mar 2026 - 9:48

168

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Exercise 2.3.2 in Huybrechts Complex geometry

Published on 26 Aug 2019 - 13:24

141

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Isomorphism between $H^1(\mathbb{P}^n,\mathcal{O}^*)$ and $H^2(\mathbb{P}^n,\mathbb{Z})$

Published on 25 Mar 2026 - 16:01

38

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Linear version of the Theorem of the Riemann's conformal transformation

Published on 27 Mar 2026 - 8:46

83

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Show that there is a linear rational transformation

Published on 28 Aug 2019 - 3:12

148

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Algebraic (?) proof that Ricci form is closed

Published on 25 Mar 2026 - 12:44

39

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In practice, what stops one from directly defining a holomorphic function on compact, connected complex manifold?

Published on 30 Aug 2019 - 14:06

244

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Reference on Complex Manifold with Smooth Boundary

Published on 25 Mar 2026 - 12:37

List Question

Sketch set in the complex plane re = 0

Interpretation of Complex disc around origin as a variety

Are finite type analytic sheaves coherent?

Definition of being nef and big

Automorphisms of Elliptic curve via loops in the Weierstrass fibration

The ring of entire functions is a flat module over the ring of polynomials?

Relatively prime elements of a local ring stay relatively prime in nearby local rings

Quotient by finite subgroups are biholomorphic.

Exercise 2.3.2 in Huybrechts Complex geometry

Isomorphism between $H^1(\mathbb{P}^n,\mathcal{O}^*)$ and $H^2(\mathbb{P}^n,\mathbb{Z})$

Linear version of the Theorem of the Riemann's conformal transformation

Show that there is a linear rational transformation

Algebraic (?) proof that Ricci form is closed

In practice, what stops one from directly defining a holomorphic function on compact, connected complex manifold?

Reference on Complex Manifold with Smooth Boundary

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