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SashaP
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68 Answers

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35 votes
Accepted

Crux of Dwork's proof of rationality of the zeta function?

17 votes

Commutative ring $R$ with no nontrivial idempotents, with a localization $R_r$ with infinitely many idempotents

12 votes
Accepted

Are "large enough" finite etale covers arithmetic?

12 votes
Accepted

Question on the Sato-Tate conjecture

11 votes
Accepted

Are the Eigenvalues of the Frobenius on Crystalline cohomology bounded by degree?

11 votes
Accepted

Printing omission in Mumford's "Lectures on Curves on an Algebraic Surface"

11 votes
Accepted

Can non-split extension be isomorphic to the split one as objects

10 votes
Accepted

Can we define fundamental groups functorially for non-pointed path connected topological spaces?

10 votes
Accepted

P-adic functions on annuli

9 votes
Accepted

Some basic questions on crystalline cohomology

9 votes
Accepted

Example of a connected finite group scheme which is not solvable

9 votes
Accepted

Bundle over $\mathbb{C}^{n}\setminus{0}$

9 votes
Accepted

Multiplicativity twisted Hochschild Kostant Rosenberg isomorphism

9 votes

Descent a representation over finite field

9 votes

Is there a version of algebraic de Rham cohomology that can be used to calculate torsion classes?

9 votes
Accepted

Exactness of the Weil restriction functor $\mathrm{Res}_{X/k}$

8 votes
Accepted

Non-existence of power divided structure on a maximal ideal of truncated polynomial rings (example from Koblitz)

8 votes
Accepted

Pullback along Frobenius morphism

7 votes
Accepted

A variant on characteristic $p$ de Rham cohomology

6 votes
Accepted

Lifting a splitting of an Abelian variety to characteristic 0

6 votes
Accepted

Can a covering space of the $p$-adic disc split over the circle?

6 votes
Accepted

Coefficients of the characteristic polynomial of the map on algebraic de Rham cohomology

6 votes
Accepted

Vector bundles on adic spaces

6 votes
Accepted

Defining hom spaces in the derived category as limits of hom spaces in the homotopy category

6 votes

Elementary examples of the Weil conjectures

6 votes
Accepted

Virtual mixed Tate motives

6 votes
Accepted

Dominant map from affine space implies unirationality

6 votes
Accepted

Cohomological interpretation of G-equivariant line bundles

6 votes
Accepted

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

5 votes

Flatness of direct image sheaf over local artinian ring

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