User Yuri Zarhin

30 votes

Pseudonyms of famous mathematicians

answered Nov 7, 2010 at 20:35

16 votes

Accepted

Calculations of Pic^0, Pic, NS of surfaces

answered Sep 30, 2010 at 1:12

16 votes

Accepted

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

answered Jun 4, 2015 at 7:27

14 votes

Accepted

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

answered Apr 17, 2011 at 12:15

13 votes

Which mathematicians have influenced you the most?

answered Apr 26, 2011 at 0:25

13 votes

Accepted

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

answered Feb 8, 2012 at 22:03

12 votes

Accepted

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

answered Mar 12, 2013 at 21:37

11 votes

Accepted

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

answered Feb 28, 2011 at 14:06

11 votes

Accepted

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

answered Feb 17, 2011 at 3:13

11 votes

Elliptic curves over finite fields

answered Nov 11, 2010 at 0:36

11 votes

Accepted

Shimura datum of family of fake elliptic curves

answered Nov 12, 2010 at 22:11

11 votes

Smooth projective varieties of Picard number one

answered Feb 26, 2013 at 10:31

11 votes

Accepted

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

answered Sep 6, 2022 at 0:17

10 votes

Accepted

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

answered Aug 12, 2016 at 19:50

10 votes

Accepted

Abelian variety with prescribed endomorphism ring

answered Aug 12, 2016 at 20:26

10 votes

Semisimple representations of discrete groups

answered Dec 19, 2016 at 15:54

9 votes

Accepted

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

answered May 24, 2021 at 15:37

9 votes

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

answered Oct 26, 2010 at 17:13

9 votes

Accepted

Weil reciprocity on abelian varieties and biextensions?

answered Jun 8, 2012 at 8:00

8 votes

Accepted

Abelian varieties with given endomorphism algebra

answered Jan 26, 2013 at 21:14

8 votes

Fermat's last theorem over larger fields

answered Nov 25, 2014 at 14:55

8 votes

Completion of a local ring of a curve

answered Dec 30, 2014 at 2:33

8 votes

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

answered May 24, 2011 at 14:50

8 votes

Accepted

Weil pairing on abelian varieties and etale Chern classes

answered May 15, 2021 at 1:35

7 votes

Abelian variety with prescribed endomorphism ring

answered Aug 12, 2016 at 14:35

7 votes

Accepted

Abelian varieties with p-rank zero

answered Oct 15, 2016 at 0:13

7 votes

Accepted

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

answered Jun 3, 2011 at 20:13

7 votes

Proofs of Mordell-Weil theorem

answered Aug 7, 2011 at 20:01

7 votes

Does the Manin-Drinfeld theorem hold over number fields?

answered Mar 14, 2013 at 12:37

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 ?

answered Sep 1, 2012 at 21:03

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58 Answers

Pseudonyms of famous mathematicians

Calculations of Pic^0, Pic, NS of surfaces

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

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

Which mathematicians have influenced you the most?

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

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

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

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

Elliptic curves over finite fields

Shimura datum of family of fake elliptic curves

Smooth projective varieties of Picard number one

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

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

Abelian variety with prescribed endomorphism ring

Semisimple representations of discrete groups

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

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

Weil reciprocity on abelian varieties and biextensions?

Abelian varieties with given endomorphism algebra

Fermat's last theorem over larger fields

Completion of a local ring of a curve

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

Weil pairing on abelian varieties and etale Chern classes

Abelian variety with prescribed endomorphism ring

Abelian varieties with p-rank zero

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

Proofs of Mordell-Weil theorem

Does the Manin-Drinfeld theorem hold over number fields?

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 ?