List questions from intersection-theory

Published on 25 Mar 2026 - 12:50

47

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Is $K_F\cdot C\leq K_X\cdot C$ for a fibre $F\subseteq X$ containing the curve $C$?

Published on 27 Jun 2023 - 17:36

99

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Multiplicity of intersection of $y^2=x^3$ and $x^2=y^3$ at the origin

Published on 25 Mar 2026 - 18:57

61

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Intersection number of submanifolds with boundary

Published on 23 Feb 2026 - 4:55

25

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Area of intersection between hypercube and hyperplane

Published on 28 Jul 2023 - 8:49

59

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Proof that the push-forward of a sheaf is unstable

Published on 27 Mar 2026 - 0:04

58

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For a Fano threefold $X$, is there a lower bound for $S^3$ where $S\subseteq X$ is an irreducible surface?

Published on 25 Mar 2026 - 12:27

75

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Line bundles which are fiber-wise algebraically trivial.

Published on 25 Mar 2026 - 16:12

41

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Non-vanishing of mod 2 intersection number for odd-dimensional manifolds implies the ambient manifold is nonorientable.

Published on 26 Mar 2026 - 17:34

39

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Does Kleiman's Theorem work on quasi-projective varieties?

Published on 25 Mar 2026 - 13:54

65

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Geometric interpretation of pairing between bordism and cobordism

Published on 25 Mar 2026 - 19:05

57

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When are the zeroes from Bezout's theorem real/rational/integral

Published on 25 Mar 2026 - 7:43

103

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Why do these two schemes intersect properly?

Published on 23 Feb 2026 - 13:33

47

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System of $ n $ simultaneously diagonal real quadrics in $ n+1 $ variables has all solutions real

Published on 25 Mar 2026 - 7:44

84

Views

Any irreducible projective curve in $\mathbb P^3$ can be defined by three functions.

Published on 27 Sep 2023 - 6:53

List Question

How to determine the type of a divisor $D$ on a product of elliptic curves?

Is $K_F\cdot C\leq K_X\cdot C$ for a fibre $F\subseteq X$ containing the curve $C$?

Multiplicity of intersection of $y^2=x^3$ and $x^2=y^3$ at the origin

Intersection number of submanifolds with boundary

Area of intersection between hypercube and hyperplane

Proof that the push-forward of a sheaf is unstable

For a Fano threefold $X$, is there a lower bound for $S^3$ where $S\subseteq X$ is an irreducible surface?

Line bundles which are fiber-wise algebraically trivial.

Non-vanishing of mod 2 intersection number for odd-dimensional manifolds implies the ambient manifold is nonorientable.

Does Kleiman's Theorem work on quasi-projective varieties?

Geometric interpretation of pairing between bordism and cobordism

When are the zeroes from Bezout's theorem real/rational/integral

Why do these two schemes intersect properly?

System of $ n $ simultaneously diagonal real quadrics in $ n+1 $ variables has all solutions real

Any irreducible projective curve in $\mathbb P^3$ can be defined by three functions.

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