List questions from arithmetic-geometry

Published on 04 Oct 2021 - 8:02

65

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type of reduction does not change under unramified extension

Published on 27 Mar 2026 - 7:49

86

Views

How to find the ring of integers of $\mathbb{Q}_{p}(p^{1/p^{\infty}})$ and $\mathbb{F}_{p}((t))(t^{1/p^{\infty}})$?

Published on 06 Oct 2021 - 14:46

81

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Is quotient of group scheme is again group scheme?

Published on 28 Mar 2026 - 6:09

155

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Why don't the $K$-rational points of an elliptic curve over $K$ form a scheme?

Published on 12 Oct 2021 - 8:54

152

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A question on the completion of a Dedekind domain and monogenic extensions.

Published on 13 Oct 2021 - 13:24

59

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Why $(0)$ and $spec(k)$ is $R$-scheme?

Published on 13 Oct 2021 - 18:02

79

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Dimension of a elliptic curve as a scheme

Published on 14 Oct 2021 - 11:11

38

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$R$-Scheme $X$ and $X$'s generic fiber has the same dimension as $S$-scheme?

Published on 14 Oct 2021 - 11:22

162

Views

natural inclusion $ε(R)→E(K)$,$x→x$, regarding Neron model of elliptic curve

Published on 16 Oct 2021 - 11:40

42

Views

What is a general enough linear subspace?

Published on 16 Oct 2021 - 15:06

126

Views

Can anyone explain grothendiecks spiky point in the image?

Published on 17 Oct 2021 - 4:11

538

Views

An example of elliptic curve which is isogenous but not isomorphism

Published on 18 Oct 2021 - 5:45

95

Views

Total Space of Trivial Line Bundle.

Published on 26 Mar 2026 - 6:27

138

Views

Why 13 is special for the Mazur's theorem on torsion of elliptic curves?

Published on 24 Oct 2021 - 9:20

List Question

example of elliptic curve which does not have potential good reduction

type of reduction does not change under unramified extension

How to find the ring of integers of $\mathbb{Q}_{p}(p^{1/p^{\infty}})$ and $\mathbb{F}_{p}((t))(t^{1/p^{\infty}})$?

Is quotient of group scheme is again group scheme?

Why don't the $K$-rational points of an elliptic curve over $K$ form a scheme?

A question on the completion of a Dedekind domain and monogenic extensions.

Why $(0)$ and $spec(k)$ is $R$-scheme?

Dimension of a elliptic curve as a scheme

$R$-Scheme $X$ and $X$'s generic fiber has the same dimension as $S$-scheme?

natural inclusion $ε(R)→E(K)$,$x→x$, regarding Neron model of elliptic curve

What is a general enough linear subspace?

Can anyone explain grothendiecks spiky point in the image?

An example of elliptic curve which is isogenous but not isomorphism

Total Space of Trivial Line Bundle.

Why 13 is special for the Mazur's theorem on torsion of elliptic curves?

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