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28 votes

Etale cohomology can not be computed by Cech

ag.algebraic-geometry nt.number-theory cohomology etale-cohomology cech-cohomology asked Sep 23 '16 at 22:59
mathoverflow.net

22 votes

Is the $H$-space structure on $S^7$ associative up to homotopy?

at.algebraic-topology homotopy-theory h-spaces asked Dec 3 '16 at 22:48
mathoverflow.net

15 votes

Lower central series quotients in terms of (co)homology

ag.algebraic-geometry at.algebraic-topology gr.group-theory group-cohomology hodge-theory asked Apr 17 '16 at 23:30
mathoverflow.net

13 votes

Local proof of Grothendieck-Riemann-Roch theorem

ag.algebraic-geometry rt.representation-theory homological-algebra lie-algebras characteristic-classes asked May 21 '16 at 0:36
mathoverflow.net

8 votes

Functorial classes in Brauer group

ag.algebraic-geometry nt.number-theory homological-algebra etale-cohomology asked Sep 22 '16 at 0:17
mathoverflow.net

8 votes

Failure of integral comparison between crystalline and de Rham cohomology over a highly ramified base

ag.algebraic-geometry nt.number-theory p-adic-hodge-theory asked Apr 15 '18 at 19:59
mathoverflow.net

7 votes

Arbitrarily non-degenerate Hodge to de Rham spectral sequence

ag.algebraic-geometry homological-algebra hodge-theory spectral-sequences positive-characteristic asked Jan 14 '17 at 21:33
mathoverflow.net

7 votes

Does Chabauty-Coleman method give an algorithm for finding rational points?

ag.algebraic-geometry nt.number-theory arithmetic-geometry rational-points birch-swinnerton-dyer asked Sep 11 '16 at 15:52
mathoverflow.net

7 votes

Grothendieck's motivation of crystalline cohomology

ag.algebraic-geometry nt.number-theory reference-request p-adic-hodge-theory crystalline-cohomology asked Sep 30 '16 at 23:00
mathoverflow.net

6 votes

Multiplication in universal enveloping algebra in terms of PBW isomorphism

co.combinatorics rt.representation-theory lie-groups lie-algebras asked May 30 '16 at 23:16
mathoverflow.net

1 2

Top Answers
35
Crux of Dwork's proof of rationality of the zeta function?
mathoverflow.net

12
Question on the Sato-Tate conjecture
mathoverflow.net

11
Weaker version of Dwork's rationality of zeta function, what is needed to beef up into a complete proof?
mathoverflow.net

10
Are the Eigenvalues of the Frobenius on Crystalline cohomology bounded by degree?
mathoverflow.net

10
P-adic functions on annuli
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9
Bundle over $\mathbb{C}^{n}\setminus{0}$
mathoverflow.net

9
Printing omission in Mumford's “Lectures on Curves on an Algebraic Surface”
mathoverflow.net

8
Descent a representation over finite field
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8
Any hyperelliptic curve is never a complete intersection.
math.stackexchange.com

7
Multiplicativity twisted Hochschild Kostant Rosenberg isomorphism
mathoverflow.net

6
Elementary examples of the Weil conjectures
mathoverflow.net

6
Pullback along Frobenius morphism
mathoverflow.net

6
Defining hom spaces in the derived category as limits of hom spaces in the homotopy category
mathoverflow.net

6
Virtual mixed Tate motives
mathoverflow.net

6
Cohomological interpretation of G-equivariant line bundles
mathoverflow.net

6
Does every section of the map Gal$(\overline{k(\!(t)\!)}/k(\!(t)\!))\rightarrow$ Gal$(\overline{k}/k)$ stabilize a compatible system of roots of $t$?
mathoverflow.net

6
Some basic questions on crystalline cohomology
mathoverflow.net

5
Example of a connected finite group scheme which is not solvable
mathoverflow.net

5
Flatness of direct image sheaf over local artinian ring
mathoverflow.net

5
Does the Tate construction (defined with direct sums) have a derived interpretation?
mathoverflow.net

5
Harish-Chandra isomorphism for characteristic $p$
mathoverflow.net

5
Show that a field extension $L/K$ is separable iff the trace form is non-degenerate.
math.stackexchange.com

5
Zeta function, $\mathbb{F}_5[T, \sqrt{T(T-1)(T+1)}]$
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