List questions from arithmetic-geometry

Published on 27 Oct 2015 - 5:39

160

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Automorphism of m-torsion subgroup of an elliptic curve determines the automorphism of the entire elliptic curve

Published on 29 Oct 2015 - 2:56

183

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Smooth curve defined over K with genus 1 is always isomorphic, over $\overline K$, to an elliptic curve over K

Published on 29 Oct 2015 - 23:49

122

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Quotienting out polynomial rings by polynomial-generated ideals

Published on 02 Mar 2026 - 4:22

395

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2-torsion points in a curve with genus 2

Published on 20 Nov 2015 - 18:56

133

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Asking for some exercises to help me understanding abelian varieties better?

Published on 27 Nov 2015 - 2:07

329

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$J$ invariant of elliptic over a number field

Published on 22 Mar 2026 - 10:20

48

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Laurent expansion at infinity for a weakly modular function with respect to a congruence subgroups

Published on 05 Dec 2015 - 22:22

261

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Elliptic curves over $\mathbb C$ have same endomorphism ring but not isomorphic

Published on 05 Dec 2015 - 23:21

95

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descending smoothness along unramified morphisms

Published on 11 Dec 2015 - 20:32

89

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$E[n]$ is etale locally $(\mathbb{Z}/n\mathbb{Z})^2$

Published on 17 Dec 2015 - 18:16

491

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Tate curve and cusps

Published on 18 Dec 2015 - 19:42

153

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Generalized elliptic curves over cusps and orbits of $\mathbb{Q}\cup\infty$

Published on 19 Dec 2015 - 3:15

1.2k

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J. Silverman exercise 3.12 "The arithmetic of Elliptic curves"

Published on 03 Jan 2016 - 16:31

194

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Geometrically ireducible curve

Published on 09 Jan 2016 - 15:06

List Question

What is the correct generalization of degree of a divisor to the number field case?

Automorphism of m-torsion subgroup of an elliptic curve determines the automorphism of the entire elliptic curve

Smooth curve defined over K with genus 1 is always isomorphic, over $\overline K$, to an elliptic curve over K

Quotienting out polynomial rings by polynomial-generated ideals

2-torsion points in a curve with genus 2

Asking for some exercises to help me understanding abelian varieties better?

$J$ invariant of elliptic over a number field

Laurent expansion at infinity for a weakly modular function with respect to a congruence subgroups

Elliptic curves over $\mathbb C$ have same endomorphism ring but not isomorphic

descending smoothness along unramified morphisms

$E[n]$ is etale locally $(\mathbb{Z}/n\mathbb{Z})^2$

Tate curve and cusps

Generalized elliptic curves over cusps and orbits of $\mathbb{Q}\cup\infty$

J. Silverman exercise 3.12 "The arithmetic of Elliptic curves"

Geometrically ireducible curve

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