User David Benjamin Lim

22 votes

Using algebraic geometry to understand class field theory

answered Mar 24, 2021 at 5:52

17 votes

Completion of a local ring of a curve

answered Dec 30, 2014 at 2:26

15 votes

Accepted

How is a Stack the generalisation of a sheaf from a 2-category point of view?

answered Jun 14, 2017 at 5:22

13 votes

Accepted

A book on elliptic curves using scheme theory?

answered Apr 6, 2017 at 4:26

12 votes

Accepted

An integral domain of dimension one with a non-trivial infinite intersection of prime ideals

answered Apr 4, 2015 at 10:03

12 votes

Conceptual algebraic proof that Grassmannian is closed in Plucker embedding

answered Sep 18, 2014 at 3:46

11 votes

Accepted

Does Grothendieck's algebraization imply existence of colimits of schemes?

answered Mar 4, 2021 at 4:25

10 votes

Accepted

Picard group under base change for algebraically closed fields

answered Nov 29, 2017 at 21:41

9 votes

Accepted

Is the pseudoinverse the same as least squares with regularization?

answered Feb 25, 2021 at 15:08

8 votes

Sheaves with no cohomology

answered Feb 17, 2014 at 15:19

8 votes

Why should an algebraic geometer care about singular / simplicial (co)homology?

answered Jul 13, 2021 at 0:52

7 votes

Do relatively prime polynomials $f$ and $g$ in $k[x,y]$ generate an ideal of finite codimension?

answered Jun 28, 2021 at 6:05

7 votes

Automorphism of $\mathbb{P}_A^n$

answered Dec 21, 2017 at 5:16

6 votes

Accepted

Vector bundles on complete rings

answered Feb 26, 2021 at 4:11

6 votes

Picard group and reduced schemes

answered Jun 3, 2018 at 22:05

6 votes

The Picard number of the Kummer surface of an abelian surface

answered May 15, 2021 at 3:07

6 votes

Accepted

Computing Ext sheaves over complex projective plane

answered Mar 13, 2021 at 4:12

5 votes

Accepted

Maximal torus of linear algebraic group over a ring

answered Apr 11, 2021 at 15:17

5 votes

Accepted

Does $R\hat{f}_\mathcal{F}=\hat{f}_\mathcal{F}$ hold for affine adic morphisms?

answered Apr 18, 2021 at 16:45

5 votes

Tate modules of commutative group schemes over finite field

answered Apr 26, 2018 at 4:59

4 votes

What's the "best" proof of quadratic reciprocity?

answered Jun 12, 2012 at 12:56

4 votes

Accepted

Equivalence of categories between finite étale covers of connected scheme and finite continuous permutation representations of étale fundamental group

answered Apr 30, 2021 at 6:14

3 votes

Accepted

A principal $ \mathbb{G}_{a}$-bundle over an affine variety is trivial

answered May 12, 2021 at 12:27

3 votes

Accepted

Explicit basis for the space of global sections of a twisted arithmetic ideal sheaf

answered Jan 14, 2014 at 14:51

3 votes

Accepted

What is the relationship between the $\ell$-adic cohomology of a DM stack and that of its coarse moduli space?

answered Sep 28, 2018 at 21:58

3 votes

Brauer group of a curve over non-algebraically closed field

answered Oct 11, 2018 at 21:22

2 votes

Colimits of schemes

answered Jul 14, 2020 at 17:42

2 votes

morphisms representable by algebraic spaces vs morphisms representable by schemes

answered Sep 13, 2016 at 9:23

2 votes

Every ideal is principal in a certain quotient ring

answered Nov 21, 2017 at 7:48

2 votes

Accepted

Image of a projective variety is closed

answered Jun 16, 2021 at 4:02

Stack Exchange Network

32 Answers

Using algebraic geometry to understand class field theory

Completion of a local ring of a curve

How is a Stack the generalisation of a sheaf from a 2-category point of view?

A book on elliptic curves using scheme theory?

An integral domain of dimension one with a non-trivial infinite intersection of prime ideals

Conceptual algebraic proof that Grassmannian is closed in Plucker embedding

Does Grothendieck's algebraization imply existence of colimits of schemes?

Picard group under base change for algebraically closed fields

Is the pseudoinverse the same as least squares with regularization?

Sheaves with no cohomology

Why should an algebraic geometer care about singular / simplicial (co)homology?

Do relatively prime polynomials $f$ and $g$ in $k[x,y]$ generate an ideal of finite codimension?

Automorphism of $\mathbb{P}_A^n$

Vector bundles on complete rings

Picard group and reduced schemes

The Picard number of the Kummer surface of an abelian surface

Computing Ext sheaves over complex projective plane

Maximal torus of linear algebraic group over a ring

Does $R\hat{f}_\mathcal{F}=\hat{f}_\mathcal{F}$ hold for affine adic morphisms?

Tate modules of commutative group schemes over finite field

What's the "best" proof of quadratic reciprocity?

Equivalence of categories between finite étale covers of connected scheme and finite continuous permutation representations of étale fundamental group

A principal $ \mathbb{G}_{a}$-bundle over an affine variety is trivial

Explicit basis for the space of global sections of a twisted arithmetic ideal sheaf

What is the relationship between the $\ell$-adic cohomology of a DM stack and that of its coarse moduli space?

Brauer group of a curve over non-algebraically closed field

Colimits of schemes

morphisms representable by algebraic spaces vs morphisms representable by schemes

Every ideal is principal in a certain quotient ring

Image of a projective variety is closed