User Aoi Koshigaya

7 votes

0 answers

283 views

Number of rational points over finite fields mod $q$ is birational invariant

asked Oct 19, 2021 at 2:07

5 votes

1 answer

231 views

Existence of curves of arbitrary genus on some K3 surface

asked Aug 4, 2021 at 8:25

4 votes

1 answer

359 views

Pullback of very ample line bundles under finite étale covering

asked Aug 11, 2021 at 2:29

4 votes

0 answers

193 views

Grothendieck group of admissible $p$-adic representations

asked Oct 19, 2021 at 13:46

4 votes

0 answers

124 views

Moduli stacks of relative morphisms

asked Dec 26, 2020 at 8:06

3 votes

0 answers

179 views

Definitions of formal schemes

asked Jun 13, 2020 at 2:34

3 votes

0 answers

263 views

The category of finite flat group schemes

asked May 11, 2020 at 13:14

3 votes

0 answers

163 views

Proper flat morphisms with geometrically connected fibers

asked Nov 9, 2020 at 2:45

3 votes

1 answer

354 views

Zero schemes of sections of locally free sheaves

asked Nov 22, 2020 at 15:45

3 votes

1 answer

116 views

Line bundle $\mathcal L(-P_1 - \cdots - P_{r - 1})$ on a curve being globally generated for $r - 1$ general points

asked Jul 21, 2021 at 3:02

3 votes

0 answers

259 views

Stable $\infty$-category of motives

asked Feb 15, 2022 at 9:07

2 votes

1 answer

117 views

Minimal free resolution over arbitrary varieties

asked Jul 30, 2021 at 8:10

2 votes

0 answers

223 views

Matsusaka's big theorem

asked Aug 16, 2021 at 1:49

2 votes

0 answers

81 views

Colimits in the category of formal schemes

asked Jun 2, 2020 at 9:38

2 votes

0 answers

228 views

Infinite Galois theory for schemes

asked Apr 21, 2020 at 12:45

2 votes

0 answers

140 views

Outer Galois representations and Tate modules of Jacobian varieties

asked Jul 19, 2020 at 3:40

2 votes

1 answer

268 views

Uniqueness of Stein factorization

asked Sep 16, 2020 at 11:34

2 votes

1 answer

305 views

Relative Künneth formula

asked Jun 24, 2021 at 14:28

1 vote

1 answer

250 views

Effective Cartier divisors corresponding to a line bundle

asked Jul 3, 2021 at 11:05

1 vote

0 answers

92 views

Fujita's ampleness conjecture for very ample line bundles

asked Jul 18, 2021 at 7:47

1 vote

0 answers

53 views

An inequality of intersection multiplicities and products of algebraic multiplicities on singular varieties

asked Jul 19, 2021 at 14:02

1 vote

0 answers

184 views

Definitions of Picard schemes and Picard stacks

asked Mar 6, 2021 at 3:50

1 vote

0 answers

102 views

Mori fiber space in dimension $2$ over a point is $\mathbf P^2$

asked Mar 30, 2021 at 3:28

1 vote

0 answers

85 views

The kernel of the isogeny $[n]$ of an abelian variety

asked May 1, 2020 at 14:56

1 vote

1 answer

688 views

Two definitions of formal schemes

asked May 9, 2020 at 15:21

1 vote

0 answers

162 views

Deformation of nodal curves

asked Dec 2, 2020 at 15:54

1 vote

0 answers

102 views

Picard groups and fundamental groups of subvarieties of projective space with small codimension

asked Dec 10, 2020 at 15:23

1 vote

0 answers

125 views

Admissible subcategories of derived categories

asked Feb 9, 2022 at 4:10

0 votes

0 answers

92 views

Coefficient of the exceptional divisor in pullbacks of divisors along a blowing-up

asked Aug 21, 2021 at 10:56

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29 Questions

Number of rational points over finite fields mod $q$ is birational invariant

Existence of curves of arbitrary genus on some K3 surface

Pullback of very ample line bundles under finite étale covering

Grothendieck group of admissible $p$-adic representations

Moduli stacks of relative morphisms

Definitions of formal schemes

The category of finite flat group schemes

Proper flat morphisms with geometrically connected fibers

Zero schemes of sections of locally free sheaves

Line bundle $\mathcal L(-P_1 - \cdots - P_{r - 1})$ on a curve being globally generated for $r - 1$ general points

Stable $\infty$-category of motives

Minimal free resolution over arbitrary varieties

Matsusaka's big theorem

Colimits in the category of formal schemes

Infinite Galois theory for schemes

Outer Galois representations and Tate modules of Jacobian varieties

Uniqueness of Stein factorization

Relative Künneth formula

Effective Cartier divisors corresponding to a line bundle

Fujita's ampleness conjecture for very ample line bundles

An inequality of intersection multiplicities and products of algebraic multiplicities on singular varieties

Definitions of Picard schemes and Picard stacks

Mori fiber space in dimension $2$ over a point is $\mathbf P^2$

The kernel of the isogeny $[n]$ of an abelian variety

Two definitions of formal schemes

Deformation of nodal curves

Picard groups and fundamental groups of subvarieties of projective space with small codimension

Admissible subcategories of derived categories

Coefficient of the exceptional divisor in pullbacks of divisors along a blowing-up