Daniel Loughran's user avatar
Daniel Loughran's user avatar
Daniel Loughran's user avatar
Daniel Loughran
  • Member for 14 years
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38 votes
1 answer
5k views

Flatness in Algebraic Geometry vs. Fibration in Topology

26 votes
5 answers
3k views

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

14 votes
3 answers
3k views

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

16 votes
2 answers
2k views

Is the complement of an affine variety always a divisor?

11 votes
3 answers
2k views

Toric varieties as quotients of affine space

17 votes
1 answer
2k views

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

10 votes
2 answers
2k views

Irreducible polynomials with a root modulo almost all primes

9 votes
3 answers
2k views

Etale cohomology with coefficients in $\mathbb{Q}$

13 votes
3 answers
2k views

Picard group under base change for algebraically closed fields

19 votes
5 answers
2k views

Sum of the reciprocals of radicals

17 votes
3 answers
2k views

Does every reductive group scheme admit a maximal torus?

8 votes
2 answers
2k views

Explicit $2$-descent on elliptic curves

11 votes
1 answer
2k views

Quasi-split tori and algebraic groups

12 votes
4 answers
2k views

Proving Mertens' theorem using the prime number theorem

14 votes
1 answer
2k views

The Tate conjecture for abelian varieties

20 votes
2 answers
1k views

Integral points on varieties

3 votes
2 answers
1k views

Sum of a big divisor and a pseudo-effective divisor

9 votes
2 answers
1k views

Galois invariant Picard group elements

14 votes
1 answer
1k views

Algebraic definition for intermediate Jacobians

12 votes
3 answers
1k views

Average orders of multiplicative functions

6 votes
1 answer
1k views

A weak version of Bass' conjecture

6 votes
4 answers
1k views

Brauer group elements of order $2$

14 votes
1 answer
1k views

A quantitative version of Hensel's Lemma

10 votes
1 answer
1k views

Scheme of irreducible components

7 votes
0 answers
983 views

Hartshorne conjecture on vector bundles on projective spaces

8 votes
1 answer
973 views

Conjugacy of Borel subgroups over arbitrary fields

16 votes
2 answers
970 views

Weakened version of the Artin's primitive root conjecture

19 votes
1 answer
969 views

Ehresmann's theorem over the $p$-adics

5 votes
2 answers
952 views

Are any two K3 surfaces over C diffeomorphic?

20 votes
0 answers
952 views

Finiteness of etale cohomology for arithmetic schemes