Question

Example of a family of ample divisors $\{A_m\}_{m\geq 1}$ on a smooth projective variety $X$ such that $mA_m$ has a basepoint?

score 24 · Answer 1 · 2026-03-25 13:57:04

24

Views

Example of a family of ample divisors $\{A_m\}_{m\geq 1}$ on a smooth projective variety $X$ such that $mA_m$ has a basepoint?

Published on 25 Mar 2026 - 13:57

score 68 · Answer 2 · 2023-10-17 16:17:27

68

Views

Defining an algebraic surface in terms of its parametrization

Published on 17 Oct 2023 - 16:17

score 35 · Answer 3 · 2026-03-25 13:51:53

35

Views

Varieties with parameters

Published on 25 Mar 2026 - 13:51

score 52 · Answer 4 · 2023-10-28 11:57:55

52

Views

Geometry of the discriminant locus of a morphism between varieties

Published on 28 Oct 2023 - 11:57

score 68 · Answer 5 · 2023-11-20 19:36:43

68

Views

Is $\mathbb{A}^{n+1}_\mathbb{C}\setminus \{0\} \to \mathbb{P}^n_\mathbb{C}$ a closed morphism?

Published on 20 Nov 2023 - 19:36

score 37 · Answer 6 · 2023-11-28 16:17:14

37

Views

Bounding the degree of a variety after Segre embedding

Published on 28 Nov 2023 - 16:17

score 40 · Answer 7 · 2023-11-30 05:06:40

40

Views

Is the ideal of projective variety homogeneous when the projective variety is defined over a ring

Published on 30 Nov 2023 - 5:06

score 37 · Answer 8 · 2023-12-03 22:05:43

37

Views

Intersection multiplicities of varieties expressed with curves

Published on 03 Dec 2023 - 22:05

score 63 · Answer 9 · 2023-12-12 22:48:27

63

Views

There exist a hyperplane $H$ such that $\nu_d (\mathbb{P}^n) \cap H = \nu_d(\mathbb{V}(g))$

Published on 12 Dec 2023 - 22:48

score 112 · Answer 10 · 2023-12-13 22:20:45

112

Views

$ (\mathbb{P}^n \times \mathbb{P}^n) \setminus \Gamma$ is isomorphic to an affine variety

Published on 13 Dec 2023 - 22:20

score 65 · Answer 11 · 2026-02-23 06:53:03

65

Views

Defining algebraic varieties in general

Published on 23 Feb 2026 - 6:53

score 159 · Answer 12 · 2026-03-25 19:05:36

159

Views

The canonical sheaf of hypersurface on $\mathbb{P}^n$

Published on 25 Mar 2026 - 19:05

score 53 · Answer 13 · 2024-01-04 15:13:30

53

Views

Finite morphism vs morphism of finite degree

Published on 04 Jan 2024 - 15:13

score 115 · Answer 14 · 2024-01-25 23:00:17

115

Views

If $f:X\rightarrow Y$ is a $k-$morphism of projective varieties and $X(k)\neq\varnothing$, then $Y(k)\neq\varnothing$

Published on 25 Jan 2024 - 23:00

score 67 · Answer 15 · 2024-01-29 15:05:24

67

Views

classification of morphism between varieties

Published on 29 Jan 2024 - 15:05

List Question

Example of a family of ample divisors $\{A_m\}_{m\geq 1}$ on a smooth projective variety $X$ such that $mA_m$ has a basepoint?

Defining an algebraic surface in terms of its parametrization

Varieties with parameters

Geometry of the discriminant locus of a morphism between varieties

Is $\mathbb{A}^{n+1}_\mathbb{C}\setminus \{0\} \to \mathbb{P}^n_\mathbb{C}$ a closed morphism?

Bounding the degree of a variety after Segre embedding

Is the ideal of projective variety homogeneous when the projective variety is defined over a ring

Intersection multiplicities of varieties expressed with curves

There exist a hyperplane $H$ such that $\nu_d (\mathbb{P}^n) \cap H = \nu_d(\mathbb{V}(g))$

$ (\mathbb{P}^n \times \mathbb{P}^n) \setminus \Gamma$ is isomorphic to an affine variety

Defining algebraic varieties in general

The canonical sheaf of hypersurface on $\mathbb{P}^n$

Finite morphism vs morphism of finite degree

If $f:X\rightarrow Y$ is a $k-$morphism of projective varieties and $X(k)\neq\varnothing$, then $Y(k)\neq\varnothing$

classification of morphism between varieties

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