User Eduardo R. Duarte

8 votes

2 answers

439 views

Number of points of elliptic curve over $\mathbb{F}_p$ with CM by $\sqrt{-2}$ when $p\equiv 1\bmod 8$

asked Jul 5, 2017 at 15:21

7 votes

0 answers

488 views

Structure of elliptic curve $y^2 = x^3 - x$ over $\mathbb{F}_p$ with $p=(a+i)(a-i)$

asked Jul 19, 2017 at 22:35

6 votes

1 answer

543 views

Jacobians of genus 2 curves isogenous to a square of a supersingular elliptic curve over $\mathbb{F}_{p^2}$

asked Dec 16, 2016 at 19:39

6 votes

0 answers

153 views

Descent via an explicit isogeny (genus 2)

asked Feb 23, 2018 at 15:08

5 votes

1 answer

185 views

Identifying elements in the kernel of an explicit endomorphism of a Jacobian variety

asked Mar 24, 2019 at 16:00

4 votes

1 answer

486 views

Intersection number of divisors on abelian surfaces and its invariance under translation by 2-Torsion points

asked Dec 11, 2017 at 19:33

3 votes

1 answer

677 views

About the characteristic polynomial of Frobenius of the Jacobian of a genus 2 hyperelliptic curve

asked Feb 12, 2016 at 19:04

3 votes

1 answer

205 views

5-Descent or ($\sqrt{5}$-Descent?) on certain genus 2 Jacobians

asked Aug 11, 2017 at 16:22

3 votes

1 answer

234 views

Explicit endomorphisms of Jacobians of genus $2$ and the Theta divisor

asked Aug 26, 2017 at 18:55

3 votes

0 answers

168 views

Scalar multiplication via the Kummer surface of a genus $2$ curve by $\sqrt{5}$

asked Nov 14, 2017 at 9:20

2 votes

0 answers

662 views

Self intersection of theta divisor

asked Mar 31, 2017 at 9:43

2 votes

1 answer

189 views

Restricted degree function of an endomorphism of a Jacobian to its theta divisor for genus 2 curves

asked Aug 7, 2016 at 16:19

2 votes

1 answer

370 views

Function field of the Jacobian of genus 2 curve over $\mathbb{F}_q$

asked Feb 26, 2015 at 16:24

2 votes

1 answer

312 views

Some curves on the Jacobian of a genus $2$ curve and their image under certain maps (char $p$)

asked Jun 29, 2018 at 19:23

1 vote

0 answers

73 views

Generators of fixed function fields under involutions

asked Jan 11, 2016 at 14:37

1 vote

1 answer

236 views

Isogeny from kernel in higher dimensional abelian varieties

asked Jan 29, 2017 at 18:01

1 vote

0 answers

103 views

Degree of an isogeny in the endomorphism ring of the jacobian of a curve and self intersection index in its ring of correspondences

asked Oct 26, 2016 at 16:44

1 vote

0 answers

106 views

Supersingular isogenies of elliptic curves preserving divisibility of points

asked Jun 7, 2017 at 21:08

1 vote

1 answer

2k views

Intersection number of divisors with its pull back and its push forward

asked Oct 26, 2017 at 12:31

1 vote

0 answers

295 views

Connected component of Picard group of a genus $2$ curve and its Jacobian over an imperfect field

asked Oct 27, 2017 at 16:59

0 votes

1 answer

387 views

Hyperelliptic curve of genus 2 over R

asked Feb 22, 2015 at 17:56

0 votes

1 answer

202 views

Prime divisors on the Jacobian of a genus 2 curve over $\mathbb{F}_q$ under the $n$ map

asked Nov 18, 2016 at 13:06

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22 Questions

Number of points of elliptic curve over $\mathbb{F}_p$ with CM by $\sqrt{-2}$ when $p\equiv 1\bmod 8$

Structure of elliptic curve $y^2 = x^3 - x$ over $\mathbb{F}_p$ with $p=(a+i)(a-i)$

Jacobians of genus 2 curves isogenous to a square of a supersingular elliptic curve over $\mathbb{F}_{p^2}$

Descent via an explicit isogeny (genus 2)

Identifying elements in the kernel of an explicit endomorphism of a Jacobian variety

Intersection number of divisors on abelian surfaces and its invariance under translation by 2-Torsion points

About the characteristic polynomial of Frobenius of the Jacobian of a genus 2 hyperelliptic curve

5-Descent or ($\sqrt{5}$-Descent?) on certain genus 2 Jacobians

Explicit endomorphisms of Jacobians of genus $2$ and the Theta divisor

Scalar multiplication via the Kummer surface of a genus $2$ curve by $\sqrt{5}$

Self intersection of theta divisor

Restricted degree function of an endomorphism of a Jacobian to its theta divisor for genus 2 curves

Function field of the Jacobian of genus 2 curve over $\mathbb{F}_q$

Some curves on the Jacobian of a genus $2$ curve and their image under certain maps (char $p$)

Generators of fixed function fields under involutions

Isogeny from kernel in higher dimensional abelian varieties

Degree of an isogeny in the endomorphism ring of the jacobian of a curve and self intersection index in its ring of correspondences

Supersingular isogenies of elliptic curves preserving divisibility of points

Intersection number of divisors with its pull back and its push forward

Connected component of Picard group of a genus $2$ curve and its Jacobian over an imperfect field

Hyperelliptic curve of genus 2 over R

Prime divisors on the Jacobian of a genus 2 curve over $\mathbb{F}_q$ under the $n$ map