List questions from complex-geometry

Published on 08 Oct 2018 - 22:59

230

Views

Showing two tori are non-isomorphic as complex manifolds

Published on 27 Mar 2026 - 7:20

51

Views

Holomorphic bundle - holomorphic structure problem

Published on 25 Mar 2026 - 6:53

69

Views

(1,0)-forms/bundle problem

Published on 25 Mar 2026 - 13:16

89

Views

how do vanishing cycles change under blowups of the central fibre?

Published on 12 Oct 2018 - 17:43

138

Views

A differential form with integration $1$ has to be integral?

Published on 12 Oct 2018 - 21:23

318

Views

The definition of integral forms

Published on 13 Oct 2018 - 16:39

253

Views

(Almost) complex manifold problem.

Published on 25 Mar 2026 - 18:16

226

Views

When are the vector bundles $E$ and $E^\vee \otimes \det(E)$ isomorphic?

Published on 26 Mar 2026 - 6:20

38

Views

Chern connections theorem problem

Published on 15 Oct 2018 - 19:16

406

Views

Computation of cohomology with ideal sheaf involved.

Published on 25 Mar 2026 - 4:41

49

Views

Why is there no $\partial_E$?

Published on 17 Oct 2018 - 21:46

83

Views

Which point should I pick such that the shape is a parallelogram?

Published on 18 Oct 2018 - 13:36

163

Views

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

Published on 25 Mar 2026 - 15:48

25

Views

Why is $\bar\partial_E=\bar\partial+A^{0,1}$?

Published on 19 Oct 2018 - 3:40

List Question

Computation of cohomology of $End(TX)$ for a ruled surface $X$.

Showing two tori are non-isomorphic as complex manifolds

Holomorphic bundle - holomorphic structure problem

(1,0)-forms/bundle problem

how do vanishing cycles change under blowups of the central fibre?

A differential form with integration $1$ has to be integral?

The definition of integral forms

(Almost) complex manifold problem.

When are the vector bundles $E$ and $E^\vee \otimes \det(E)$ isomorphic?

Chern connections theorem problem

Computation of cohomology with ideal sheaf involved.

Why is there no $\partial_E$?

Which point should I pick such that the shape is a parallelogram?

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

Why is $\bar\partial_E=\bar\partial+A^{0,1}$?

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