Question

A special line bundle on a product $X\times Y$ is the pullback of a line bundle on the Albanese variety $\mathrm{Alb}(X\times Y)$

score 64 · Answer 1 · 2023-03-29 13:46:30

64

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A special line bundle on a product $X\times Y$ is the pullback of a line bundle on the Albanese variety $\mathrm{Alb}(X\times Y)$

Published on 29 Mar 2023 - 13:46

score 45 · Answer 2 · 2023-03-31 15:33:33

45

Views

Finite groups of birational automorphisms

Published on 31 Mar 2023 - 15:33

score 40 · Answer 3 · 2023-04-02 00:24:10

40

Views

Contracted divisors under a rational map are linearly independent?

Published on 02 Apr 2023 - 0:24

score 67 · Answer 4 · 2023-04-07 05:58:55

67

Views

How to interpret the bigness of a divisor over a birational variety?

Published on 07 Apr 2023 - 5:58

score 210 · Answer 5 · 2023-04-27 13:39:41

210

Views

Reference request: a genus $0$ curve with at least one $\mathbb{Q}$ point

Published on 27 Apr 2023 - 13:39

score 141 · Answer 6 · 2023-05-05 18:15:24

141

Views

Question about the definition of an affine curve

Published on 05 May 2023 - 18:15

score 43 · Answer 7 · 2023-05-09 13:08:10

43

Views

Undefined locus for rational map has codimension $\ge 2$, but vanishing locus has codimension 1?

Published on 09 May 2023 - 13:08

score 91 · Answer 8 · 2023-05-29 05:12:04

91

Views

Fourier-Mukai partners that are birational at every point

Published on 29 May 2023 - 5:12

score 88 · Answer 9 · 2023-06-07 19:25:06

88

Views

Is a smooth projective variety that is derived equivalent to an abelian variety necessarily an abelian variety?

Published on 07 Jun 2023 - 19:25

score 53 · Answer 10 · 2023-06-27 11:46:30

53

Views

The normalization equals the disjoint union of the normalizations of the irreducible components

Published on 27 Jun 2023 - 11:46

score 96 · Answer 11 · 2026-03-25 06:07:03

96

Views

Existence of a proper birational morphism from a Gorenstein scheme, with trivial higher direct images, implies Cohen-Macaulay?

Published on 25 Mar 2026 - 6:07

score 144 · Answer 12 · 2026-03-25 12:29:22

144

Views

If a resolution $f:Y\to X$ satisfies $R^if_\omega_Y=0$ and $R^if_\mathcal{O}_Y=0$ for all $i>0$, then do we have $f_*\omega_Y=\omega_X$?

Published on 25 Mar 2026 - 12:29

score 17 · Answer 13 · 2026-03-14 03:47:17

17

Views

rational points in singular quartic surface

Published on 14 Mar 2026 - 3:47

score 44 · Answer 14 · 2023-08-13 23:40:55

44

Views

How to show that a given mapping is/isn't a birational isomorphism?

Published on 13 Aug 2023 - 23:40

score 77 · Answer 15 · 2023-08-25 09:18:19

77

Views

Why is the canonical bundle of a hypersurface of degree $d>4$ in $\mathbb {CP}^3$ ample?

Published on 25 Aug 2023 - 9:18

List Question

A special line bundle on a product $X\times Y$ is the pullback of a line bundle on the Albanese variety $\mathrm{Alb}(X\times Y)$

Finite groups of birational automorphisms

Contracted divisors under a rational map are linearly independent?

How to interpret the bigness of a divisor over a birational variety?

Reference request: a genus $0$ curve with at least one $\mathbb{Q}$ point

Question about the definition of an affine curve

Undefined locus for rational map has codimension $\ge 2$, but vanishing locus has codimension 1?

Fourier-Mukai partners that are birational at every point

Is a smooth projective variety that is derived equivalent to an abelian variety necessarily an abelian variety?

The normalization equals the disjoint union of the normalizations of the irreducible components

Existence of a proper birational morphism from a Gorenstein scheme, with trivial higher direct images, implies Cohen-Macaulay?

If a resolution $f:Y\to X$ satisfies $R^if_\omega_Y=0$ and $R^if_\mathcal{O}_Y=0$ for all $i>0$, then do we have $f_*\omega_Y=\omega_X$?

rational points in singular quartic surface

How to show that a given mapping is/isn't a birational isomorphism?

Why is the canonical bundle of a hypersurface of degree $d>4$ in $\mathbb {CP}^3$ ample?

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