User Minseon Shin

10 votes

If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?

answered Aug 1, 2019 at 5:27

6 votes

vector bundles over projective line over an affine line

answered Dec 12, 2019 at 11:46

6 votes

Brauer group of projective space

answered Jul 13, 2015 at 3:14

6 votes

Accepted

$\mathbf{A}^1$-invariance of Brauer groups and $H^2_{\mathrm{et}}(-;\mathbb{G}_m)$

answered Oct 18, 2021 at 20:31

5 votes

equivalence of Grothendieck-style versus Cech-style sheaf cohomology

answered Nov 3, 2018 at 22:25

5 votes

Accepted

When does glueing affine schemes produce affine/separated schemes?

answered Jul 11, 2019 at 21:44

4 votes

Picard group of a finite type $\mathbb{Z}$-algebra

answered Feb 28, 2018 at 18:47

4 votes

Accepted

Number of generators of ideal if quotient field has certain transcendence degree

answered Feb 20, 2016 at 21:43

3 votes

Constructive proof that a kernel consists of nilpotent elements

answered Sep 23, 2016 at 3:06

3 votes

Gerbes on the multiplicative group

answered Jan 26, 2019 at 23:18

3 votes

Accepted

About an argument in Olsson's book

answered Feb 5, 2021 at 19:51

3 votes

Accepted

Is every regular local ring a filtered colimit of essentially finitely generated regular local rings?

answered Oct 6, 2020 at 19:27

3 votes

A reference for $\mathbb{A}^1_R$ being a coarse moduli space of the stack of elliptic curves

answered Aug 31, 2017 at 20:51

2 votes

Accepted

How the automorphism group of an elliptic curve acts at the localization of the stack $\mathcal{M}_{1, 1, k}$ at the corresponding point

answered Jan 30, 2023 at 1:09

2 votes

Splitting a trivial bundle over punctured $\mathbb C^n$

answered Feb 18, 2021 at 1:16

2 votes

An analogue of the Bass-Quillen conjecture with power or Laurent series

answered Oct 19, 2018 at 5:52

2 votes

Fields for which there exist multivariable polynomials vanishing at single specified point

answered Nov 14, 2016 at 7:41

1 vote

Factorize a morphism into a morphism locally of finite type and a quasi-compact morphism

answered Jul 14, 2019 at 21:28

1 vote

Cancellation and splitting theorems for vector bundles etc over schemes

answered Jan 30, 2021 at 1:00

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19 Answers

If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?

vector bundles over projective line over an affine line

Brauer group of projective space

$\mathbf{A}^1$-invariance of Brauer groups and $H^2_{\mathrm{et}}(-;\mathbb{G}_m)$

equivalence of Grothendieck-style versus Cech-style sheaf cohomology

When does glueing affine schemes produce affine/separated schemes?

Picard group of a finite type $\mathbb{Z}$-algebra

Number of generators of ideal if quotient field has certain transcendence degree

Constructive proof that a kernel consists of nilpotent elements

Gerbes on the multiplicative group

About an argument in Olsson's book

Is every regular local ring a filtered colimit of essentially finitely generated regular local rings?

A reference for $\mathbb{A}^1_R$ being a coarse moduli space of the stack of elliptic curves

How the automorphism group of an elliptic curve acts at the localization of the stack $\mathcal{M}_{1, 1, k}$ at the corresponding point

Splitting a trivial bundle over punctured $\mathbb C^n$

An analogue of the Bass-Quillen conjecture with power or Laurent series

Fields for which there exist multivariable polynomials vanishing at single specified point

Factorize a morphism into a morphism locally of finite type and a quasi-compact morphism

Cancellation and splitting theorems for vector bundles etc over schemes