Yuri Zarhin's user avatar
Yuri Zarhin's user avatar
Yuri Zarhin's user avatar
Yuri Zarhin
  • Member for 12 years, 4 months
  • Last seen this week
  • Penn State, University Park, PA
30 votes

Pseudonyms of famous mathematicians

16 votes
Accepted

Calculations of Pic^0, Pic, NS of surfaces

16 votes
Accepted

n-th root of unity in n-th division field of abelian variety?

14 votes
Accepted

Rational points on algebraic curves over $\mathbb Q^\text{ab}$

13 votes

Which mathematicians have influenced you the most?

13 votes
Accepted

When is a product of elliptic curves isogenous to the Jacobian of a hyperelliptic curve?

12 votes
Accepted

Tate conjecture for abelian varieties over a finitely generated extension of an algebraically closed field

11 votes
Accepted

Does there exist a family of curves (or abelian varieties) on the punctured line with specified monodromy on H^1?

11 votes
Accepted

faithful unipotent representations of (finite) $p$-groups

11 votes

Elliptic curves over finite fields

11 votes
Accepted

Shimura datum of family of fake elliptic curves

11 votes

Smooth projective varieties of Picard number one

11 votes
Accepted

A possible gap in Faltings note to prove the Tate conjecture for finitely generated field over $\mathbb{Q}$

10 votes
Accepted

Does every Shimura variety contain a generic point defined over a number field?

10 votes
Accepted

Abelian variety with prescribed endomorphism ring

10 votes

Semisimple representations of discrete groups

9 votes
Accepted

Isomorphic endomorphism algebras implies isogenous (for abelian varieties over finite fields)?

9 votes

Looking for reference on Serre's talk "linear rep and number of points mod p"

9 votes
Accepted

Weil reciprocity on abelian varieties and biextensions?

8 votes
Accepted

Abelian varieties with given endomorphism algebra

8 votes

Fermat's last theorem over larger fields

8 votes

Completion of a local ring of a curve

8 votes

Reference for a theorem of Tate on the endomorphism rings of AVs over finite fields

7 votes
Accepted

O-linear Weil-pairing on abelian varieties with real multiplication

7 votes

Proofs of Mordell-Weil theorem

7 votes

Does the Manin-Drinfeld theorem hold over number fields?

7 votes

What is the importance of the conjectural semi-simplicity of the action of the Frobenius on the etale cohomology of a variety over a finite field ?

7 votes
Accepted

Do isogenies between AVs over finite fields separate finite subgroups?

7 votes
Accepted

Weil pairing on abelian varieties and etale Chern classes

7 votes

Abelian variety with prescribed endomorphism ring