User Daniel Loughran

39 votes

1 answer

5k views

Flatness in Algebraic Geometry vs. Fibration in Topology

asked Apr 2, 2010 at 19:47

26 votes

5 answers

3k views

Existence of zero cycles of degree one vs existence of rational points

asked Jul 29, 2010 at 11:47

21 votes

0 answers

617 views

Bounding failures of the integral Hodge and Tate conjectures

asked Jun 4, 2014 at 8:36

21 votes

0 answers

794 views

Class field theory and the class group

asked Feb 7, 2019 at 10:30

20 votes

2 answers

2k views

Integral points on varieties

asked Jun 17, 2010 at 11:22

20 votes

0 answers

996 views

Finiteness of etale cohomology for arithmetic schemes

asked Oct 25, 2017 at 11:51

19 votes

1 answer

1k views

Ehresmann's theorem over the $p$-adics

asked Sep 5, 2016 at 10:21

19 votes

5 answers

2k views

Sum of the reciprocals of radicals

asked Nov 15, 2018 at 15:57

18 votes

1 answer

2k views

Is a number field uniquely determined by the primes which split in it?

asked Nov 5, 2014 at 10:16

18 votes

1 answer

802 views

Relative Picard functor for the Zariski topology

asked Mar 28, 2015 at 15:50

17 votes

3 answers

2k views

Does every reductive group scheme admit a maximal torus?

asked May 2, 2014 at 12:04

16 votes

2 answers

2k views

Is the complement of an affine variety always a divisor?

asked Apr 21, 2010 at 11:19

16 votes

0 answers

400 views

Quadratic non-residues in elliptic divisibility sequences

asked Jul 27, 2020 at 16:15

15 votes

2 answers

984 views

Weakened version of the Artin's primitive root conjecture

asked Jul 30, 2021 at 19:12

15 votes

1 answer

587 views

Counting primitive lattice points

asked Apr 20, 2018 at 13:49

14 votes

3 answers

3k views

Does isomorphic generic fibre imply isomorphic special fibre for smooth morphisms?

asked Sep 14, 2011 at 12:49

14 votes

1 answer

2k views

The Tate conjecture for abelian varieties

asked Apr 30, 2014 at 16:32

14 votes

1 answer

1k views

Algebraic definition for intermediate Jacobians

asked Dec 10, 2013 at 11:01

14 votes

1 answer

735 views

$S$-Tate-Shafarevich groups of elliptic curves

asked Jan 22, 2014 at 13:31

14 votes

1 answer

1k views

A quantitative version of Hensel's Lemma

asked Nov 27, 2016 at 12:09

13 votes

3 answers

2k views

Picard group under base change for algebraically closed fields

asked Nov 28, 2017 at 14:44

13 votes

2 answers

586 views

Sum of Fibonacci sequence evaluated at a Dirichlet character

asked Oct 23, 2020 at 8:58

13 votes

4 answers

2k views

Proving Mertens' theorem using the prime number theorem

asked Dec 23, 2022 at 10:35

12 votes

1 answer

526 views

Equidistribution of $\{\alpha p\}$ for $p$ in an arithmetic progression

asked Sep 1, 2020 at 16:09

12 votes

2 answers

489 views

Twists of cubic threefolds

asked Sep 11, 2015 at 12:40

12 votes

0 answers

839 views

Unramified Galois cohomology of number fields

asked Feb 24, 2014 at 20:12

12 votes

3 answers

1k views

Average orders of multiplicative functions

asked Dec 4, 2012 at 23:18

11 votes

3 answers

2k views

Toric varieties as quotients of affine space

asked Jul 7, 2010 at 15:45

11 votes

1 answer

928 views

Non-algebraic K3 surfaces in characteristic $p$

asked Jun 15, 2015 at 12:23

11 votes

1 answer

2k views

Quasi-split tori and algebraic groups

asked Jun 6, 2016 at 7:59

Stack Exchange Network

107 Questions

Flatness in Algebraic Geometry vs. Fibration in Topology

Existence of zero cycles of degree one vs existence of rational points

Bounding failures of the integral Hodge and Tate conjectures

Class field theory and the class group

Integral points on varieties

Finiteness of etale cohomology for arithmetic schemes

Ehresmann's theorem over the $p$-adics

Sum of the reciprocals of radicals

Is a number field uniquely determined by the primes which split in it?

Relative Picard functor for the Zariski topology

Does every reductive group scheme admit a maximal torus?

Is the complement of an affine variety always a divisor?

Quadratic non-residues in elliptic divisibility sequences

Weakened version of the Artin's primitive root conjecture

Counting primitive lattice points

Does isomorphic generic fibre imply isomorphic special fibre for smooth morphisms?

The Tate conjecture for abelian varieties

Algebraic definition for intermediate Jacobians

$S$-Tate-Shafarevich groups of elliptic curves

A quantitative version of Hensel's Lemma

Picard group under base change for algebraically closed fields

Sum of Fibonacci sequence evaluated at a Dirichlet character

Proving Mertens' theorem using the prime number theorem

Equidistribution of $\{\alpha p\}$ for $p$ in an arithmetic progression

Twists of cubic threefolds

Unramified Galois cohomology of number fields

Average orders of multiplicative functions

Toric varieties as quotients of affine space

Non-algebraic K3 surfaces in characteristic $p$

Quasi-split tori and algebraic groups