User Martin Bright

33 votes

What is the purpose of the flat/fppf/fpqc topologies?

answered Jan 29, 2015 at 14:01

20 votes

Accepted

Torsors in Algebraic Geometry?

answered Mar 26, 2010 at 15:02

19 votes

Galois group of a product of irreducible polynomials

answered Mar 26, 2010 at 15:47

18 votes

What is your favorite isomorphism?

answered Sep 2, 2010 at 20:43

17 votes

Accepted

Relative Picard functor for the Zariski topology

answered Mar 29, 2015 at 13:41

17 votes

Accepted

Is the Brauer group functor a Zariski sheaf?

answered Sep 25, 2015 at 7:09

12 votes

Integer points (very naive question)

answered Mar 19, 2010 at 15:15

12 votes

prime factors of x^2 - 2

answered Dec 9, 2011 at 15:14

11 votes

Accepted

What does the abbreviation "p.p." mean in the context of convergence

answered Feb 5, 2020 at 10:24

10 votes

Accepted

Do $PGL_n$-torsors induce elements of the Brauer group

answered Oct 20, 2016 at 14:17

10 votes

Accepted

A quantitative version of Hensel's Lemma

answered Nov 28, 2016 at 12:49

10 votes

Accepted

Detecting sections on an arithmetic variety

answered Dec 4, 2012 at 10:24

9 votes

Accepted

Why is $\mathbb{Q}$-factoriality not local in the étale topology?

answered Mar 5, 2012 at 11:44

9 votes

Lifting a complete intersection in $\mathbb{P}^n_{\mathbb{F}_p}$ to $\mathbb{Z}_p$

answered Feb 18, 2020 at 13:07

9 votes

Can someone suggest a path to study Mordell-Weil theorem for someone studying on their own?

answered Jun 19, 2019 at 20:25

8 votes

Examples of schemes $S$ with $H^{3}(S,\mathbb G_{m})=0$

answered Mar 22, 2018 at 14:53

8 votes

Accepted

Brauer group of a curve over non-algebraically closed field

answered Oct 8, 2018 at 21:29

7 votes

Accepted

Root lattices and (resolutions of) singular cubic surfaces

answered Aug 23, 2019 at 11:32

7 votes

Which sheaves satisfy cohomological purity?

answered Jul 13, 2013 at 16:36

7 votes

Accepted

Twists of cubic threefolds

answered Sep 21, 2015 at 11:48

7 votes

Accepted

is generically split Azumaya algebra locally split?

answered Mar 12, 2012 at 15:09

6 votes

Accepted

p-adic numbers of norm 1

answered Apr 15, 2011 at 15:56

6 votes

Accepted

Parametrization of 2-dimensional torus

answered Apr 15, 2011 at 22:18

6 votes

Finiteness of Galois cohomology

answered Feb 5, 2018 at 21:49

5 votes

Obstruction to rationality of del Pezzo surfaces of degree 4

answered May 11, 2016 at 9:19

5 votes

Severi-Brauer variety and finite covering

answered Apr 24, 2012 at 13:47

4 votes

Brauer group elements of order $2$

answered Oct 24, 2012 at 7:53

4 votes

a question on Brauer groups and trivialised Azumaya algebras

answered Apr 22, 2013 at 15:23

4 votes

Brauer group of projective space

answered Jan 22, 2018 at 17:02

3 votes

mod p etale cohomology of the special fiber and the generic fiber

answered Sep 28, 2018 at 9:46

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36 Answers

What is the purpose of the flat/fppf/fpqc topologies?

Torsors in Algebraic Geometry?

Galois group of a product of irreducible polynomials

What is your favorite isomorphism?

Relative Picard functor for the Zariski topology

Is the Brauer group functor a Zariski sheaf?

Integer points (very naive question)

prime factors of x^2 - 2

What does the abbreviation "p.p." mean in the context of convergence

Do $PGL_n$-torsors induce elements of the Brauer group

A quantitative version of Hensel's Lemma

Detecting sections on an arithmetic variety

Why is $\mathbb{Q}$-factoriality not local in the étale topology?

Lifting a complete intersection in $\mathbb{P}^n_{\mathbb{F}_p}$ to $\mathbb{Z}_p$

Can someone suggest a path to study Mordell-Weil theorem for someone studying on their own?

Examples of schemes $S$ with $H^{3}(S,\mathbb G_{m})=0$

Brauer group of a curve over non-algebraically closed field

Root lattices and (resolutions of) singular cubic surfaces

Which sheaves satisfy cohomological purity?

Twists of cubic threefolds

is generically split Azumaya algebra locally split?

p-adic numbers of norm 1

Parametrization of 2-dimensional torus

Finiteness of Galois cohomology

Obstruction to rationality of del Pezzo surfaces of degree 4

Severi-Brauer variety and finite covering

Brauer group elements of order $2$

a question on Brauer groups and trivialised Azumaya algebras

Brauer group of projective space

mod p etale cohomology of the special fiber and the generic fiber