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Top Questions
31
votes
Etale cohomology can not be computed by Cech
ag.algebraic-geometry
nt.number-theory
cohomology
etale-cohomology
cech-cohomology
asked Sep 23, 2016 at 22:59
mathoverflow.net
23
votes
Is the $H$-space structure on $S^7$ associative up to homotopy?
at.algebraic-topology
homotopy-theory
h-spaces
asked Dec 3, 2016 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, 2016 at 23:30
mathoverflow.net
14
votes
Local proof of Grothendieck-Riemann-Roch theorem
ag.algebraic-geometry
rt.representation-theory
homological-algebra
lie-algebras
characteristic-classes
asked May 21, 2016 at 0:36
mathoverflow.net
8
votes
Grothendieck's motivation of crystalline cohomology
ag.algebraic-geometry
nt.number-theory
reference-request
p-adic-hodge-theory
crystalline-cohomology
asked Sep 30, 2016 at 23:00
mathoverflow.net
8
votes
Functorial classes in Brauer group
ag.algebraic-geometry
nt.number-theory
homological-algebra
etale-cohomology
asked Sep 22, 2016 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, 2018 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, 2017 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, 2016 at 15:52
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, 2016 at 23:16
mathoverflow.net
1
2
next
Top Answers
35
Crux of Dwork's proof of rationality of the zeta function?
mathoverflow.net
17
Commutative ring $R$ with no nontrivial idempotents, with a localization $R_r$ with infinitely many idempotents
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
Printing omission in Mumford's "Lectures on Curves on an Algebraic Surface"
mathoverflow.net
10
P-adic functions on annuli
mathoverflow.net
10
Show that a field extension $L/K$ is separable iff the trace form is non-degenerate.
math.stackexchange.com
10
Can we define fundamental groups functorially for non-pointed path connected topological spaces?
mathoverflow.net
10
Are "large enough" finite etale covers arithmetic?
mathoverflow.net
10
Can non-split extension be isomorphic to the split one as objects
mathoverflow.net
9
Bundle over $\mathbb{C}^{n}\setminus{0}$
mathoverflow.net
8
Pullback along Frobenius morphism
mathoverflow.net
8
Descent a representation over finite field
mathoverflow.net
8
Any hyperelliptic curve is never a complete intersection.
math.stackexchange.com
8
Is there a version of algebraic de Rham cohomology that can be used to calculate torsion classes?
mathoverflow.net
7
Multiplicativity twisted Hochschild Kostant Rosenberg isomorphism
mathoverflow.net
6
Defining hom spaces in the derived category as limits of hom spaces in the homotopy category
mathoverflow.net
6
Elementary examples of the Weil conjectures
mathoverflow.net
6
Dominant map from affine space implies unirationality
mathoverflow.net
6
Cohomological interpretation of G-equivariant line bundles
mathoverflow.net
6
Virtual mixed Tate motives
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
6
Lifting a splitting of an Abelian variety to characteristic 0
mathoverflow.net
6
A variant on characteristic $p$ de Rham cohomology
mathoverflow.net
6
Can Hodge symmetry fail if there is a lift to $W_2$ and the crystalline cohomology is torsion-free?
mathoverflow.net
6
Coefficients of the characteristic polynomial of the map on algebraic de Rham cohomology
mathoverflow.net
6
Vector bundles on adic spaces
mathoverflow.net
5
Does the Tate construction (defined with direct sums) have a derived interpretation?
mathoverflow.net
1
2
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