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jmc
  • Member for 12 years, 1 month
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31 votes
2 answers
3k views

On Grothendieck's idea on his Standard Conjecture B

27 votes
1 answer
1k views

Why are unramified maps not required to be locally of finite presentation?

23 votes
0 answers
1k views

Is there a functor of points approach to algebraic cycles and intersection theory?

17 votes
4 answers
6k views

A $0$-dimensional ring that is not noetherian

15 votes
0 answers
459 views

Do we expect abelian varieties (and “Artin motives”) to generate the Grothendieck ring of varieties over a finite field?

15 votes
2 answers
2k views

Are there known cases of the Mumford–Tate conjecture that do not use Abelian varieties?

14 votes
2 answers
1k views

Is there an analogue of the Tate (and Hodge) conjecture for varieties that are not proper smooth (i.e., the mixed case)?

14 votes
1 answer
496 views

Local-global principle for split extensions of Galois representations

13 votes
0 answers
267 views

Is there literature on approaching semisimplicity of l-adic cohomology using vanishing cycles

12 votes
2 answers
538 views

Modules over the integral dual Steenrod algebra as linear functors

11 votes
2 answers
735 views

Deformations of a blowup

10 votes
3 answers
4k views

What morphisms induce injective/surjective maps on (Weil) cohomology?

10 votes
1 answer
387 views

Cohomology of relative motives

9 votes
1 answer
681 views

Example of a variety over a number field with non-semisimple Galois representation on $\ell$-adic cohomology

8 votes
1 answer
723 views

$\ell$-adic monodromy theorems (over $\mathbb{C}$)

8 votes
0 answers
455 views

Lefschetz pencils and perverse sheaves

7 votes
1 answer
1k views

When do two non-degenerate quadratic forms give rise to isomorphic Lie algebras?

7 votes
4 answers
1k views

How singular can the Stein factorization of a proper map between smooth varieties be?

7 votes
1 answer
302 views

The cohomology of an $S_{3}$ cover of an elliptic curve ramified in one point

7 votes
1 answer
1k views

Is there a description of the moduli space of elliptic surfaces?

6 votes
3 answers
615 views

Does a lisse $\ell$-adic sheaf give rise to an affine group scheme?

6 votes
1 answer
970 views

Is the Weil–Deligne representations coming from $\ell$-adic cohomology independent of $\ell$?

6 votes
2 answers
412 views

How simple does a $\mathbb{Q}$-simple group remain after base change to $\mathbb{Q}_{\ell}$?

3 votes
1 answer
506 views

Bounding the number of critical points in a Lefschetz pencil

3 votes
0 answers
113 views

Enumerating simple algebraic groups and their irreducible representations

3 votes
1 answer
738 views

When does the filtration in the limit of the Leray spectral sequence split?

3 votes
2 answers
1k views

Good reduction of abelian varieties [S-T] -- Why is this ring henselian?

3 votes
2 answers
488 views

Is lim R_i = O(colim Spec R_i) true for finite (co)limits?

3 votes
1 answer
1k views

Dual (/reduction?) graph of a curve

2 votes
1 answer
1k views

Is a morphism of smooth connected curves over an algebraically closed field either finite flat or constant?