User oleout

4 votes

1 answer

306 views

Distinguished triangle and hypercohomology

asked Jun 25, 2021 at 8:48

4 votes

1 answer

333 views

A Kummer exact sequence involving $\mu_\infty$

asked Jul 12, 2021 at 6:03

4 votes

0 answers

243 views

How do the shift and truncation functors affect hypercohomology groups?

asked Jul 31, 2021 at 6:43

4 votes

1 answer

553 views

Curves and semi-abelian varieties

asked Jun 29, 2022 at 3:19

3 votes

0 answers

172 views

Injectivity of the Abel map away from singularity

asked Jul 4, 2022 at 11:42

3 votes

1 answer

521 views

The notion of abelian covers

asked Jul 14, 2022 at 11:53

3 votes

0 answers

152 views

Obtaining an exact sequence of Galois modules via derived functors

asked Jul 21, 2021 at 8:22

3 votes

1 answer

308 views

Integral models and adelic points

asked Apr 4, 2021 at 7:27

3 votes

1 answer

274 views

If a genus 2 curve has no $k$-rational points, can it have a $k$-rational divisor class of degree 1?

asked Feb 7, 2023 at 1:38

3 votes

0 answers

96 views

Descent obstruction of an open curve in an elliptic curve

asked Feb 11, 2023 at 4:08

2 votes

0 answers

90 views

Reconciling two notions of finite descent obstructions

asked Nov 28, 2022 at 15:36

2 votes

0 answers

160 views

Embedding of a genus 1 hyperbolic curve

asked Jun 2, 2022 at 16:00

2 votes

1 answer

471 views

Torsors over elliptic curves

asked Jun 10, 2022 at 9:18

2 votes

0 answers

92 views

Unramified section associated to a rational point

asked Nov 30, 2022 at 9:11

2 votes

0 answers

172 views

Interpretation of some maps involving cohomology groups

asked Feb 27, 2021 at 7:08

2 votes

1 answer

195 views

Is there a Rosenlicht's lemma for semi-abelian varieties?

asked Feb 26, 2023 at 12:17

2 votes

0 answers

143 views

Results concerning surjectivity of Brauer groups

asked Jan 16, 2023 at 7:49

2 votes

0 answers

187 views

The Brauer group of the function field of a proper curve

asked Jan 23, 2023 at 3:56

2 votes

1 answer

323 views

Computing $H^1$ with coefficients in a torsion-free abelian group

asked Jul 11, 2021 at 3:10

1 vote

0 answers

40 views

Bound of entries of inverse of a unimodular matrix whose row sum is bounded

asked Aug 5 at 12:12

1 vote

1 answer

165 views

Character group functor of an exact sequence of algebraic groups

asked Feb 28, 2023 at 14:20

1 vote

0 answers

86 views

Geometric Picard group of a semi-abelian variety

asked Mar 10, 2023 at 3:32

1 vote

0 answers

94 views

Motivation for the Weil function for a Cartier divisor

asked Jul 4, 2023 at 2:01

1 vote

1 answer

351 views

The smooth completion of a curve

asked Feb 27, 2021 at 8:07

1 vote

1 answer

176 views

The groups $H^i(k,\mathbb{Z})$ for $i=1,2$

asked Feb 28, 2021 at 7:01

1 vote

1 answer

303 views

A question about a truncated object

asked Jun 21, 2021 at 6:04

1 vote

0 answers

73 views

Would the iterated finite abelian descent obstruction equality hold for curves?

asked Jun 28, 2021 at 6:42

1 vote

1 answer

678 views

Cohomology with coefficients in $\mu_\infty$

asked Jul 24, 2021 at 3:51

1 vote

0 answers

194 views

Brauer-Manin obstruction and affine curves

asked Aug 7, 2021 at 7:20

1 vote

0 answers

83 views

Are there known situations where this weaker form of the section conjecture holds?

asked Dec 6, 2022 at 8:41

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44 Questions

Distinguished triangle and hypercohomology

A Kummer exact sequence involving $\mu_\infty$

How do the shift and truncation functors affect hypercohomology groups?

Curves and semi-abelian varieties

Injectivity of the Abel map away from singularity

The notion of abelian covers

Obtaining an exact sequence of Galois modules via derived functors

Integral models and adelic points

If a genus 2 curve has no $k$-rational points, can it have a $k$-rational divisor class of degree 1?

Descent obstruction of an open curve in an elliptic curve

Reconciling two notions of finite descent obstructions

Embedding of a genus 1 hyperbolic curve

Torsors over elliptic curves

Unramified section associated to a rational point

Interpretation of some maps involving cohomology groups

Is there a Rosenlicht's lemma for semi-abelian varieties?

Results concerning surjectivity of Brauer groups

The Brauer group of the function field of a proper curve

Computing $H^1$ with coefficients in a torsion-free abelian group

Bound of entries of inverse of a unimodular matrix whose row sum is bounded

Character group functor of an exact sequence of algebraic groups

Geometric Picard group of a semi-abelian variety

Motivation for the Weil function for a Cartier divisor

The smooth completion of a curve

The groups $H^i(k,\mathbb{Z})$ for $i=1,2$

A question about a truncated object

Would the iterated finite abelian descent obstruction equality hold for curves?

Cohomology with coefficients in $\mu_\infty$

Brauer-Manin obstruction and affine curves

Are there known situations where this weaker form of the section conjecture holds?