User gdb

17 votes

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Example of a smooth projective family of varieties in characteristic $p$ where the Hodge numbers jump

answered Feb 20, 2019 at 3:53

12 votes

Smoothen a nodal curve

answered Aug 3, 2018 at 12:50

11 votes

Algebraic vs analytic normality

answered Jun 24, 2018 at 4:37

11 votes

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Picard group of connected linear algebraic group

answered Nov 29, 2020 at 3:08

9 votes

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Grothendieck-Verdier duality without the noetherian condition

answered Oct 13, 2019 at 3:10

9 votes

Hodge decomposition and degeneration of the spectral sequence

answered Sep 29, 2018 at 22:22

8 votes

Curves over number fields with everywhere good reduction

answered Dec 5, 2018 at 9:25

8 votes

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Finite subgroup scheme and Neron model of an abelian variety

answered Nov 25, 2017 at 4:11

8 votes

Counterexamples to gluing complexes of sheaves

answered Nov 28, 2017 at 9:44

7 votes

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Nearby cycles and extension by zero

answered Feb 20, 2019 at 2:13

7 votes

Étale fundamental group of multiplicative group over an algebraically/separably closed field

answered Nov 3, 2019 at 18:58

6 votes

A proper flat family with geometrically reduced fibers

answered Mar 27, 2019 at 7:33

6 votes

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Cartier Divisor generated by Global Sections

answered Nov 28, 2017 at 6:43

5 votes

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Is a localization of a reduced finitely generated algebra analytically unramified?

answered Nov 25, 2017 at 23:11

5 votes

What is the difference between total integral closure and integral closure?

answered Jul 11, 2019 at 8:50

5 votes

When does glueing affine schemes produce affine/separated schemes?

answered Jul 11, 2019 at 23:33

4 votes

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Map from local systems to holomorphic line bundles on a curve

answered Mar 1, 2020 at 9:07

3 votes

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Compatibility between the functors of $\mathcal{O}_X$-modules and $\mathcal{D}_X$-modules

answered Dec 25, 2021 at 1:30

3 votes

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An example of a morphism of rigid analytic spaces with affinoid base which is proper but does not satisfy $(\dagger)$

answered Oct 7, 2019 at 0:40

3 votes

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Extending section of étale morphism of adic spaces

answered Mar 21, 2019 at 22:46

3 votes

Accepted

Is Frobenius on $R^\circ/p$ surjective for general perfectoid rings $R$?

answered Sep 29, 2018 at 7:50

2 votes

Accepted

Hodge decomposition of the symmetric product of a curve

answered Sep 26, 2018 at 0:33

2 votes

Rank of $\mathbb{Z}_{p}$-module $H_{et}^{i}(X,\mathbb{Z}_{p}(r))$

answered Jun 20, 2022 at 1:36

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23 Answers

Example of a smooth projective family of varieties in characteristic $p$ where the Hodge numbers jump

Smoothen a nodal curve

Algebraic vs analytic normality

Picard group of connected linear algebraic group

Grothendieck-Verdier duality without the noetherian condition

Hodge decomposition and degeneration of the spectral sequence

Curves over number fields with everywhere good reduction

Finite subgroup scheme and Neron model of an abelian variety

Counterexamples to gluing complexes of sheaves

Nearby cycles and extension by zero

Étale fundamental group of multiplicative group over an algebraically/separably closed field

A proper flat family with geometrically reduced fibers

Cartier Divisor generated by Global Sections

Is a localization of a reduced finitely generated algebra analytically unramified?

What is the difference between total integral closure and integral closure?

When does glueing affine schemes produce affine/separated schemes?

Map from local systems to holomorphic line bundles on a curve

Compatibility between the functors of $\mathcal{O}_X$-modules and $\mathcal{D}_X$-modules

An example of a morphism of rigid analytic spaces with affinoid base which is proper but does not satisfy $(\dagger)$

Extending section of étale morphism of adic spaces

Is Frobenius on $R^\circ/p$ surjective for general perfectoid rings $R$?

Hodge decomposition of the symmetric product of a curve

Rank of $\mathbb{Z}_{p}$-module $H_{et}^{i}(X,\mathbb{Z}_{p}(r))$