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Yuri Zarhin's user avatar
Yuri Zarhin's user avatar
Yuri Zarhin's user avatar
Yuri Zarhin
  • Member for 13 years, 7 months
  • Last seen this week
  • Penn State, University Park, PA
29 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 $\mathbb Q^\text{ab}$

14 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

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

12 votes
Accepted

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

11 votes

Smooth projective varieties of Picard number one

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

Semisimple representations of discrete groups

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

9 votes
Accepted

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

9 votes

Completion of a local ring of a curve

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

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

8 votes

Fermat's last theorem over larger fields

8 votes
Accepted

Weil pairing on abelian varieties and etale Chern classes

7 votes

Abelian variety with prescribed endomorphism ring

7 votes
Accepted

Abelian varieties with p-rank zero

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

Endomorphism Ring of Simple Abelian Varieties